
Time bar (total: 9.0s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 857.0ms | 8 256× | 0 | valid |
| 18.0ms | 251× | 0 | invalid |
ival-mult: 234.0ms (43.3% of total)ival-div: 103.0ms (19.1% of total)ival-sqrt: 80.0ms (14.8% of total)ival-add: 66.0ms (12.2% of total)ival-sub: 37.0ms (6.8% of total)exact: 11.0ms (2% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 94.0ms | 512× | 0 | valid |
Compiled 118 to 40 computations (66.1% saved)
ival-sqrt: 54.0ms (74.6% of total)ival-mult: 9.0ms (12.4% of total)ival-div: 4.0ms (5.5% of total)ival-sub: 2.0ms (2.8% of total)ival-add: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 3 216× | lower-fma.f64 |
| 3 216× | lower-fma.f32 |
| 1 344× | lower-*.f32 |
| 1 338× | lower-*.f64 |
| 1 274× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 84 | 64 |
| 2 | 304 | 62 |
| 3 | 1272 | 62 |
| 4 | 3592 | 62 |
| 5 | 5843 | 62 |
| 6 | 7559 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 34 | 12 |
| 2 | 75 | 12 |
| 3 | 186 | 12 |
| 4 | 324 | 12 |
| 5 | 425 | 12 |
| 6 | 841 | 12 |
| 7 | 1707 | 12 |
| 8 | 2627 | 12 |
| 9 | 3358 | 12 |
| 10 | 3543 | 12 |
| 11 | 3573 | 12 |
| 12 | 3574 | 12 |
| 13 | 3574 | 12 |
| 14 | 3776 | 12 |
| 15 | 4021 | 12 |
| 16 | 4491 | 12 |
| 17 | 4491 | 12 |
| 18 | 4491 | 12 |
| 0 | 4491 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
Compiled 16 to 12 computations (25% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 3 216× | lower-fma.f64 |
| 3 216× | lower-fma.f32 |
| 1 344× | lower-*.f32 |
| 1 338× | lower-*.f64 |
| 546× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 841 | 41 |
| 7 | 1707 | 41 |
| 8 | 2627 | 41 |
| 9 | 3358 | 41 |
| 10 | 3543 | 41 |
| 11 | 3573 | 41 |
| 12 | 3574 | 41 |
| 13 | 3574 | 41 |
| 14 | 3776 | 41 |
| 15 | 4021 | 41 |
| 16 | 4491 | 41 |
| 17 | 4491 | 41 |
| 18 | 4491 | 41 |
| 0 | 4491 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) | |
| accuracy | 0.296875 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 22.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-mult: 7.0ms (49.5% of total)ival-div: 2.0ms (14.1% of total)ival-sqrt: 2.0ms (14.1% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 1× | egg-herbie |
| 9 212× | lower-fma.f64 |
| 9 212× | lower-fma.f32 |
| 4 246× | lower-*.f64 |
| 4 246× | lower-*.f32 |
| 2 696× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 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) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 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))) |
(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) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
| 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) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64) #s(literal -3 binary64))) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* 3 (sqrt x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (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) |
(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) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
| 5 628× | lower-fma.f64 |
| 5 628× | lower-fma.f32 |
| 4 000× | lower-*.f32 |
| 3 994× | lower-*.f64 |
| 2 686× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 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 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) |
(*.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 #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)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -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 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) (fma.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))))) |
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(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 #s(literal -9 binary64) x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)))) |
(neg.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (neg.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 #s(literal -9 binary64) x)))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 #s(literal -9 binary64) x))))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) y) |
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64) y) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x) y) |
(fma.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x))))) |
(fma.f64 y #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) y) |
(fma.f64 #s(literal 1 binary64) y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) y) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (/.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x)))) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal -81 binary64) x) x))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 6 680 to 750 computations (88.8% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 24 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 25 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| ▶ | 99.3% | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
| ▶ | 99.4% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 99.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 75.4% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #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 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) | |
| 46.5% | (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) | |
| 99.3% | (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) | |
| ▶ | 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
| 62.9% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| 99.3% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.1% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| ▶ | 99.3% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 13.7% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 #s(literal -9 binary64) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x))))) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64))) | |
| 93.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| 61.1% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| 59.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) | |
| 65.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x)) | |
| 62.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| 37.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
Compiled 1 132 to 622 computations (45.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) | |
| cost-diff | 128 | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 1216 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| cost-diff | 2368 | (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 960 | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 320 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 960 | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 13 298× | lower-fma.f32 |
| 13 292× | lower-fma.f64 |
| 4 320× | lower-+.f32 |
| 4 318× | lower-+.f64 |
| 3 852× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 291 |
| 0 | 60 | 286 |
| 1 | 118 | 268 |
| 2 | 302 | 264 |
| 3 | 1157 | 251 |
| 4 | 3161 | 251 |
| 0 | 8225 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal -1 binary64) |
(*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(sqrt.f64 x) |
#s(literal 3 binary64) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
y |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal -1 binary64) |
(*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 6.285829394983307 | (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 18.9126983140011 | (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.21875 | (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.28515625 | (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.296875 | (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.01171875 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.23828125 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.32421875 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.234375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.3046875 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 38.73135173557062 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.234375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.28515625 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) x) |
| 137.0ms | 256× | 0 | valid |
Compiled 293 to 39 computations (86.7% saved)
ival-mult: 79.0ms (76.1% of total)ival-div: 6.0ms (5.8% of total)ival-add: 5.0ms (4.8% of total)ival-sqrt: 5.0ms (4.8% of total)ival-sub: 4.0ms (3.9% of total)const: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (patch (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (patch (fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (patch (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/27 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (pow y 2) 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 5.0ms | y | @ | 0 | (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) |
| 2.0ms | y | @ | inf | (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) |
| 2.0ms | x | @ | -inf | (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) |
| 2.0ms | x | @ | inf | (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) |
| 1× | egg-herbie |
| 10 642× | lower-fma.f64 |
| 10 642× | lower-fma.f32 |
| 9 312× | lower-*.f64 |
| 9 312× | lower-*.f32 |
| 3 920× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 773 | 7967 |
| 1 | 2448 | 7437 |
| 0 | 8320 | 7017 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(sqrt x) |
(sqrt x) |
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(+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))))))) |
(+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1)))))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1))))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -1/81 (/ (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))) (- (pow y 2) 1))) (* 2/9 (/ (* y (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1))))) (- (pow y 2) 1)))))))) x)) (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1))))) |
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) |
(+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))) |
(* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1))) |
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x))))) |
(+ (* 3 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* y (+ (* 3 y) (* 2/3 (/ 1 x))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y))))) |
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y))))) |
(* (pow y 2) (+ 3 (+ (* 3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))) (/ 2/3 (* x y))))) |
(* 3 (pow y 2)) |
(* (pow y 2) (+ 3 (* 2/3 (/ 1 (* x y))))) |
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y)))) |
(* (pow y 2) (+ 3 (* -1 (/ (- (* -3 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y)) (* 2/3 (/ 1 x))) y)))) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 2/3 (* x y))) (pow x 2)) |
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2)) |
(/ (+ 1/27 (* x (+ (* 2/3 y) (* 3 (* x (- (pow y 2) 1)))))) (pow x 2)) |
(* 3 (- (pow y 2) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1))) |
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2)))) |
(+ (* 2/3 (/ y x)) (+ (* 3 (- (pow y 2) 1)) (/ 1/27 (pow x 2)))) |
(* 3 (- (pow y 2) 1)) |
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(+ 1 (* 1/9 (/ 1 x))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
y |
(* y (+ 1 (+ (/ 1/9 (* x y)) (/ 1 y)))) |
(* y (+ 1 (+ (/ 1/9 (* x y)) (/ 1 y)))) |
(* y (+ 1 (+ (/ 1/9 (* x y)) (/ 1 y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 (* 1/9 (/ 1 x))) y)) 1))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (+ 1 y))) x) |
(/ (+ 1/9 (* x (+ 1 y))) x) |
(/ (+ 1/9 (* x (+ 1 y))) x) |
(+ 1 y) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 y) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -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))) |
(* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) |
(+ (* 2/3 (* (sqrt (/ 1 x)) y)) (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1)))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(+ (* 3 (* (sqrt x) (- (* 1/81 (/ 1 (pow x 2))) 1))) (* y (+ (* 2/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))))) |
(* 3 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(* 3 (* (sqrt x) (pow y 2))) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(* 1/27 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(* 3 (* (sqrt x) (- (pow y 2) 1))) |
(* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
| Outputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) x) |
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(*.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (*.f64 y y)) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (pow y 2))))))) |
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (*.f64 y y)) |
(* 3 (* (sqrt x) (pow y 2))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 x)) y) #s(literal 3 binary64)) |
(* (pow y 2) (+ (* 2/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64) #s(literal 3 binary64)) y) (sqrt.f64 x))) (neg.f64 y))) (*.f64 y y)) |
(* (pow y 2) (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) y))) (* -2/3 (sqrt (/ 1 x)))) y)) (* 3 (sqrt x)))) |
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -3 binary64) #s(literal 3 binary64)) y) (sqrt.f64 x))) (neg.f64 y))) (*.f64 y y)) |
(* 1/27 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(/ (+ (* 1/27 (sqrt x)) (* 2/3 (* (sqrt (pow x 3)) y))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 x)) y (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x (*.f64 #s(literal 1/27 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/27 (sqrt x)) (* x (+ (* 2/3 (* (sqrt x) y)) (* 3 (* (sqrt (pow x 3)) (- (pow y 2) 1)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 x)) y (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x (*.f64 #s(literal 1/27 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* 3 (* (sqrt x) (- (pow y 2) 1))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) x) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))))) x) |
(* x (+ (* 1/27 (sqrt (/ 1 (pow x 5)))) (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) y)) (* 3 (* (sqrt (/ 1 x)) (- (pow y 2) 1)))))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))))) x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- (pow y 2) 1)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal -3 binary64)) |
(* -1 (* x (+ (* 2/3 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal -2/3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 x)))) |
(* -1 (* x (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* -1/27 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (pow y 2) 1))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 x)))) |
| 5 264× | lower-*.f32 |
| 5 244× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 096× | lower-/.f64 |
| 2 426× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 219 |
| 0 | 60 | 203 |
| 1 | 240 | 181 |
| 2 | 2146 | 181 |
| 0 | 8466 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (sqrt.f64 x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) #s(literal 9 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))))) |
(*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
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(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
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(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) y) |
(fma.f64 (-.f64 (*.f64 y y) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x)) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x)) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal -1 binary64))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) |
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) |
(+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) y) |
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (neg.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal -1 binary64))))) |
Compiled 53 795 to 4 044 computations (92.5% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 787 | 22 | 1 809 |
| Fresh | 14 | 5 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 806 | 28 | 1 834 |
| Status | Accuracy | Program |
|---|---|---|
| 61.1% | (fma.f64 (*.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| ▶ | 99.4% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
| 74.6% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| 63.0% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 99.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
| 62.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) | |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 46.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) | |
| 37.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| 99.3% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.4% | (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| 99.3% | (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 37.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 63.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ▶ | 93.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
| 61.1% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| 60.0% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) x)) #s(literal 3 binary64)) | |
| 82.2% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) y)) #s(literal 3 binary64)) | |
| 37.1% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 57.1% | #s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)) | |
| 82.2% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) | |
| 62.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ▶ | 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
| ✓ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ▶ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
Compiled 811 to 550 computations (32.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 128 | (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) | |
| cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| cost-diff | 192 | (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 192 | (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) | |
| cost-diff | 960 | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
| 4 960× | lower-fma.f32 |
| 4 952× | lower-fma.f64 |
| 2 572× | lower-*.f32 |
| 2 556× | lower-*.f64 |
| 1 376× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 273 |
| 0 | 66 | 275 |
| 1 | 107 | 263 |
| 2 | 202 | 255 |
| 3 | 362 | 255 |
| 4 | 481 | 255 |
| 5 | 590 | 255 |
| 6 | 1101 | 255 |
| 7 | 2070 | 255 |
| 8 | 3148 | 255 |
| 9 | 4022 | 255 |
| 10 | 4358 | 250 |
| 11 | 4785 | 250 |
| 12 | 4974 | 250 |
| 13 | 5122 | 250 |
| 14 | 5584 | 245 |
| 15 | 6093 | 245 |
| 16 | 6451 | 245 |
| 17 | 6571 | 245 |
| 18 | 6679 | 245 |
| 19 | 6715 | 245 |
| 20 | 6826 | 245 |
| 21 | 6926 | 245 |
| 22 | 7293 | 245 |
| 23 | 7531 | 245 |
| 24 | 7608 | 245 |
| 25 | 7780 | 245 |
| 0 | 8331 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
#s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(fma.f64 y x #s(literal 1/9 binary64)) |
y |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) |
#s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) |
#s(approx (* (- (/ 1/9 x) 1) 3) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(approx (+ y (/ 1 (* x 9))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) |
#s(approx (+ y (/ 1 (* x 9))) (-.f64 y (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(fma.f64 x y #s(literal 1/9 binary64)) |
y |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(-.f64 y (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.234375 | (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) | |
| accuracy | 0.32650375976844204 | (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.359375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 y x #s(literal 1/9 binary64)) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| accuracy | 0.296875 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 6.993950188728113 | (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) | |
| accuracy | 0.28515625 | (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 24.62275078883545 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.26953125 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) | |
| accuracy | 0.296875 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 38.73135173557062 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) | |
| accuracy | 0.234375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.2734375 | (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) | |
| accuracy | 0.28515625 | (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
| 63.0ms | 222× | 0 | valid |
| 18.0ms | 1× | 3 | valid |
| 15.0ms | 20× | 2 | valid |
| 7.0ms | 13× | 1 | valid |
Compiled 223 to 39 computations (82.5% saved)
ival-mult: 21.0ms (34.7% of total)ival-add: 14.0ms (23.1% of total)ival-div: 9.0ms (14.9% of total)const: 7.0ms (11.6% of total)adjust: 3.0ms (5% of total)ival-sub: 2.0ms (3.3% of total)ival-sqrt: 2.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (patch (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) (patch (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (patch (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) (patch (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1/9 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/9 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/9 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* 1/9 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/9 (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* 1/9 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal 1/9 binary64)) (patch (fma.f64 y x #s(literal 1/9 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (/ (+ (* y x) 1/9) x) |
| 2.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 0.0ms | x | @ | -inf | (* (+ (/ 1/3 x) -3) (sqrt x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* y x) 1/9) x) |
| 0.0ms | x | @ | 0 | (* (+ (/ 1/3 x) -3) (sqrt x)) |
| 1× | egg-herbie |
| 8 164× | lower-fma.f64 |
| 8 164× | lower-fma.f32 |
| 4 060× | lower-*.f64 |
| 4 060× | lower-*.f32 |
| 2 598× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 3490 |
| 1 | 487 | 3337 |
| 2 | 1538 | 3167 |
| 3 | 3211 | 3159 |
| 0 | 8247 | 2923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (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))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt 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 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(/ 1/3 x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(* 3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* 1/3 (sqrt (/ 1 x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
1/9 |
(+ 1/9 (* x y)) |
(+ 1/9 (* x y)) |
(+ 1/9 (* x y)) |
(* x y) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(* x y) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
1/9 |
(+ 1/9 (* x y)) |
(+ 1/9 (* x y)) |
(+ 1/9 (* x y)) |
(* x y) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(* x y) |
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) |
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) |
(* -1 (* x (- (* -1 y) (* 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) |
| Outputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 3 binary64) #s(literal 1/3 binary64)) x) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(fma.f64 y #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* -3 (sqrt x)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* y (+ x (* 1/9 (/ 1 y)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* -1 (* y (- (* -1 x) (* 1/9 (/ 1 y))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(+ 1/9 (* x y)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x (+ y (* 1/9 (/ 1 x)))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(* -1 (* x (- (* -1 y) (* 1/9 (/ 1 x))))) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(/ 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) |
| 5 780× | lower-*.f32 |
| 5 764× | lower-*.f64 |
| 3 856× | lower-/.f32 |
| 3 848× | lower-/.f64 |
| 3 374× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 187 |
| 0 | 66 | 187 |
| 1 | 254 | 179 |
| 2 | 1985 | 179 |
| 0 | 8272 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x) |
(*.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))) #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) #s(literal 9 binary64) (*.f64 (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (-.f64 (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x) (*.f64 #s(literal 9 binary64) x)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 #s(literal 9 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 #s(literal 9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 #s(literal 9 binary64) x)) (fma.f64 (*.f64 #s(literal 27 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 y y) y (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) y)) |
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 y #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(+.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(+.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x))) |
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1/9 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x y) #s(literal 1/9 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 x y #s(literal -1/9 binary64)) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1/81 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x y) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (fma.f64 x y #s(literal -1/9 binary64))) (*.f64 (fma.f64 x y #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (*.f64 (fma.f64 x y #s(literal -1/9 binary64)) (fma.f64 x y #s(literal -1/9 binary64)))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 x y) x) y)) (-.f64 #s(literal 1/9 binary64) (*.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 x y #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x y) #s(literal 1/9 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1/81 binary64)) (fma.f64 x y #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (*.f64 (*.f64 x y) #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (*.f64 x y) x) y (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x y) #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal -1/9 binary64)) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1/81 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x y) x) y (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x y) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y) #s(literal 1/729 binary64)))) |
(fma.f64 x y #s(literal 1/9 binary64)) |
(fma.f64 y x #s(literal 1/9 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) x) y) (fma.f64 x y #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x y #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 x y) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -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 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 #s(literal 9 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.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 -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 9 binary64) x)))) |
Compiled 12 678 to 980 computations (92.3% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 728 | 12 | 740 |
| Fresh | 9 | 13 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 739 | 29 | 768 |
| Status | Accuracy | Program |
|---|---|---|
| 61.1% | (fma.f64 (*.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 74.6% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| 63.0% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(approx (/ (+ (* -3 x) 1/3) x) #s(literal -3 binary64))) (sqrt.f64 x))) | |
| 61.1% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ (/ 1/9 x) y) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| ▶ | 62.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 46.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) | |
| ▶ | 39.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) |
| ▶ | 37.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 37.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 63.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ✓ | 93.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
| 61.1% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(approx (+ (* y x) 1/9) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| 60.0% | (*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) x)) #s(literal 3 binary64)) | |
| 37.1% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 57.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| 82.2% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) | |
| ▶ | 99.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 61.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 62.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 61.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ✓ | 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
| ✓ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| ✓ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) | |
| 37.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| ▶ | 25.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| 44.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (/ 1/3 x) -3) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))) |
Compiled 717 to 485 computations (32.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 7 902× | lower-fma.f32 |
| 7 898× | lower-fma.f64 |
| 3 936× | lower-*.f32 |
| 3 924× | lower-*.f64 |
| 1 930× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 331 |
| 0 | 79 | 331 |
| 1 | 145 | 324 |
| 2 | 333 | 322 |
| 3 | 912 | 266 |
| 4 | 3750 | 266 |
| 0 | 8143 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
#s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
#s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
y |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
y |
#s(literal 1/3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25390625 | (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) | |
| accuracy | 0.42578125 | (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) | |
| accuracy | 38.77908419365554 | #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) | |
| accuracy | 0.09765625 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) | |
| accuracy | 0.234375 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.3046875 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 29.588002733922988 | #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.296875 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 39.964026408756 | #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.28515625 | (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 24.62275078883545 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| accuracy | 32.70631768306782 | #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) | |
| accuracy | 0 | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 0.08203125 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.3359375 | (/.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 0.34994125976844204 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
| 119.0ms | 223× | 0 | valid |
| 12.0ms | 21× | 1 | valid |
| 9.0ms | 12× | 2 | valid |
Compiled 267 to 50 computations (81.3% saved)
ival-mult: 27.0ms (34.3% of total)ival-sqrt: 16.0ms (20.3% of total)ival-div: 11.0ms (14% of total)ival-add: 9.0ms (11.4% of total)const: 7.0ms (8.9% of total)ival-sub: 5.0ms (6.3% of total)adjust: 3.0ms (3.8% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (patch #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (patch #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) (patch #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) (patch (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) (taylor 0 x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) (taylor inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) (taylor inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) (taylor inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) (taylor inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor 0 x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) y) (taylor inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* (/ (sqrt (/ 1 x)) y) 1/3) |
| 1.0ms | x | @ | 0 | (* (/ (sqrt (/ 1 x)) y) 1/3) |
| 1.0ms | y | @ | 0 | (* (/ (sqrt (/ 1 x)) y) 1/3) |
| 1.0ms | y | @ | inf | (* (/ (sqrt (/ 1 x)) y) 1/3) |
| 0.0ms | x | @ | -inf | (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) |
| 1× | egg-herbie |
| 10 428× | lower-fma.f64 |
| 10 428× | lower-fma.f32 |
| 9 600× | lower-*.f64 |
| 9 600× | lower-*.f32 |
| 3 430× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 651 | 10254 |
| 1 | 2058 | 9540 |
| 2 | 7617 | 9484 |
| 0 | 8705 | 8900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
(* -3 (* (sqrt x) (- 1 y))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (* (sqrt (/ 1 x)) (- 1 y))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 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))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* -3 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(/ (+ (* -3 (sqrt (pow x 3))) (* 1/3 (sqrt x))) x) |
(* -3 (sqrt x)) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) |
(+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))) (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))) (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2)))))))))) |
(+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) (* y (+ (* 3 (* (sqrt x) (- (+ (* 2/9 (/ 1 (* x (+ 1 (* 1/9 (/ 1 x)))))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))) (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* y (+ (* 3 (* (sqrt x) (* y (- (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 4))) (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 4)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 2))))))) (* 3 (* (sqrt x) (- (+ (* 1/81 (/ 1 (* (pow x 2) (pow (+ 1 (* 1/9 (/ 1 x))) 3)))) (/ 1 (+ 1 (* 1/9 (/ 1 x))))) (+ (* 2/9 (/ 1 (* x (pow (+ 1 (* 1/9 (/ 1 x))) 2)))) (/ 1 (pow (+ 1 (* 1/9 (/ 1 x))) 3))))))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))) |
(* y (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* y (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) (pow y 3)))) (+ (* 3 (sqrt x)) (+ (* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) (+ 1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) (pow y 2)))) (* 3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y))))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (* (sqrt x) (/ (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -3 (* (sqrt x) (/ (* (+ 1 (* 1/9 (/ 1 x))) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))) y))) (* 3 (* (sqrt x) (- (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -1 (* (+ 1 (* 1/9 (/ 1 x))) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x)))))))))) y)) (* 3 (* (sqrt x) (- (* 2/9 (/ 1 x)) (+ 1 (* 1/9 (/ 1 x))))))) y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- (* 2 y) (+ 1 y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* 3 (* (sqrt (pow x 3)) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* 3 (* (sqrt x) (- (* 2 y) (+ 1 y)))) (* x (+ (* -27 (* (sqrt (pow x 3)) (* (+ 1 y) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))) (* 3 (* (sqrt x) (- (* 9 (- (pow y 2) 1)) (* 9 (* (+ 1 y) (- (* 2 y) (+ 1 y)))))))))))) x) |
(* 3 (* (sqrt x) (/ (- (pow y 2) 1) (+ 1 y)))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))))) |
(* x (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y))))))))) |
(* x (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (/ (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 x)) (/ (- (pow y 2) 1) (+ 1 y)))) (+ (* 3 (* (sqrt (/ 1 (pow x 3))) (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))))) (* 3 (* (sqrt (/ 1 (pow x 5))) (- (* 1/81 (/ 1 (+ 1 y))) (* 1/9 (/ (- (* 2/9 (/ y (+ 1 y))) (* 1/9 (/ (- (pow y 2) 1) (pow (+ 1 y) 2)))) (+ 1 y)))))))))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
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(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2))))))) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y))))) (+ 1 y)))) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* 1/81 (/ (sqrt -1) (+ 1 y))) (* -1/9 (/ (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))) (+ 1 y)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (* -2/9 (/ (* y (sqrt -1)) (+ 1 y))) (* -1/9 (/ (* (sqrt -1) (- (pow y 2) 1)) (pow (+ 1 y) 2)))))))) x)) (* 3 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y))))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) 1)))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) (* y (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) 1))))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) 1)))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (+ (* 2/9 (/ (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2))))) (* x (- (* 1/81 (/ 1 (pow x 2))) 1)))) (+ (* 1/9 (/ 1 (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))) (/ 1 (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2))))))) (* 1/3 (* (sqrt (/ 1 x)) (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))))))))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) 1)))) (* y (+ (* 1/3 (* (sqrt (/ 1 x)) (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2))))))) (* y (+ (* -1/3 (* (sqrt (/ 1 x)) (+ (* 2/9 (/ (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2))))) (* x (- (* 1/81 (/ 1 (pow x 2))) 1)))) (+ (* 1/9 (/ 1 (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))) (/ 1 (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))))) (* 1/3 (* (sqrt (/ 1 x)) (* y (- (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 3)))) (+ (* -2/9 (/ (+ (* 1/9 (/ 1 (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))) (+ (* 2/9 (/ (- (/ 1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* 2/9 (/ (+ 1 (* 1/9 (/ 1 x))) (* x (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2))))) (* x (- (* 1/81 (/ 1 (pow x 2))) 1)))) (/ 1 (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))) (* x (- (* 1/81 (/ 1 (pow x 2))) 1)))) (/ 1 (pow (- (* 1/81 (/ 1 (pow x 2))) 1) 2)))))))))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (+ (* 1/3 (sqrt (/ 1 x))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) y)))) y) |
(/ (+ (* 1/3 (sqrt (/ 1 x))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x)))) (pow y 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) y))))) y) |
(/ (+ (* -1/3 (* (sqrt (/ 1 x)) (/ (+ (* 2/9 (/ (- 1 (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x)))) x)) (* (- (* 1/81 (/ 1 (pow x 2))) 1) (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))))) (pow y 3)))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (- 1 (+ (* 1/81 (/ 1 (pow x 2))) (* 2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x)))) (pow y 2)))) (* 1/3 (* (sqrt (/ 1 x)) (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) y)))))) y) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* -1 (/ (+ (* -1/3 (sqrt (/ 1 x))) (* -1/3 (* (sqrt (/ 1 x)) (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) y)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/3 (* (sqrt (/ 1 x)) (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x))) y)))) y)) (* -1/3 (sqrt (/ 1 x)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (+ (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ (* 2/9 (/ (+ (* -1 (- (* 1/81 (/ 1 (pow x 2))) 1)) (* -2/9 (/ (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))) x))) x)) (* (- (* 1/81 (/ 1 (pow x 2))) 1) (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x))))) y)))) y)) (* 1/3 (* (sqrt (/ 1 x)) (- (+ 1 (* 1/9 (/ 1 x))) (* 2/9 (/ 1 x)))))) y)) (* -1/3 (sqrt (/ 1 x)))) y)) |
(* 3 (sqrt x)) |
(+ (* 1/3 (* (sqrt (pow x 3)) (- (* 81 (+ 1 y)) (* 162 y)))) (* 3 (sqrt x))) |
(+ (* 3 (sqrt x)) (* x (+ (* -1/3 (* (sqrt (pow x 3)) (+ (* 18 (* y (- (* 81 (+ 1 y)) (* 162 y)))) (* 729 (- (pow y 2) 1))))) (* 1/3 (* (sqrt x) (- (* 81 (+ 1 y)) (* 162 y))))))) |
(+ (* 3 (sqrt x)) (* x (+ (* 1/3 (* (sqrt x) (- (* 81 (+ 1 y)) (* 162 y)))) (* x (+ (* -1/3 (* (sqrt x) (+ (* 18 (* y (- (* 81 (+ 1 y)) (* 162 y)))) (* 729 (- (pow y 2) 1))))) (* -1/3 (* (sqrt (pow x 3)) (+ (* -18 (* y (+ (* 18 (* y (- (* 81 (+ 1 y)) (* 162 y)))) (* 729 (- (pow y 2) 1))))) (* 81 (* (- (* 81 (+ 1 y)) (* 162 y)) (- (pow y 2) 1))))))))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2))))))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 5))) (+ (* 1/81 (/ (+ 1 y) (pow (- (pow y 2) 1) 2))) (* 2/9 (/ (* y (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2))))) (- (pow y 2) 1)))))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2)))))))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 5))) (+ (* 1/81 (/ (+ 1 y) (pow (- (pow y 2) 1) 2))) (* 2/9 (/ (* y (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2))))) (- (pow y 2) 1)))))) (+ (* -1/3 (* (sqrt (/ 1 (pow x 7))) (+ (* -2/9 (/ (* y (+ (* 1/81 (/ (+ 1 y) (pow (- (pow y 2) 1) 2))) (* 2/9 (/ (* y (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2))))) (- (pow y 2) 1))))) (- (pow y 2) 1))) (* 1/81 (/ (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2)))) (- (pow y 2) 1)))))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (- (* 1/9 (/ 1 (- (pow y 2) 1))) (* 2/9 (/ (* y (+ 1 y)) (pow (- (pow y 2) 1) 2))))))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) |
(+ (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))))))) |
(+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1)))))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1))))))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ (* -1/81 (/ (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))) (- (pow y 2) 1))) (* 2/9 (/ (* y (+ (* 1/81 (/ (+ 1 y) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 2/9 (/ (* y (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1)))))) (- (pow y 2) 1))))) (- (pow y 2) 1)))))))) x)) (* -1/3 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ (* -2/9 (/ (* y (+ 1 y)) (* (sqrt -1) (pow (- (pow y 2) 1) 2)))) (* 1/9 (/ 1 (* (sqrt -1) (- (pow y 2) 1))))))))) x)) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 y) (- (pow y 2) 1))))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) x (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64) (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/ (+ (* -3 (* (sqrt (pow x 3)) (- 1 y))) (* 1/3 (sqrt x))) x) |
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(*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) (/ 1 y)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* (sqrt x) y) |
(*.f64 y (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 y (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 y (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 y (sqrt.f64 x)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 y (sqrt.f64 x)) |
| 6 416× | lower-fma.f32 |
| 6 412× | lower-fma.f64 |
| 5 280× | lower-/.f32 |
| 5 270× | lower-/.f64 |
| 4 408× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 297 |
| 0 | 79 | 281 |
| 1 | 327 | 235 |
| 2 | 2840 | 235 |
| 0 | 9663 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(sqrt.f64 x) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
#s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 y (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (sqrt.f64 x))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (sqrt.f64 x)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -27 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))))) |
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(sqrt.f64 x) |
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 9 binary64) (neg.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #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) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y)) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (/.f64 y (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(*.f64 y (sqrt.f64 x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
Compiled 17 211 to 1 242 computations (92.8% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 750 | 9 | 759 |
| Fresh | 5 | 15 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 756 | 32 | 788 |
| Status | Accuracy | Program |
|---|---|---|
| 61.1% | (fma.f64 (*.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) | |
| 63.0% | (fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(approx (/ (+ (* -3 x) 1/3) x) #s(literal -3 binary64))) (sqrt.f64 x))) | |
| 61.1% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ (/ 1/9 x) y) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) | |
| 62.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))) | |
| ✓ | 62.9% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)))) | |
| 39.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/3 binary64)))) | |
| ✓ | 37.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 37.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 63.0% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| ✓ | 93.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
| 61.1% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(approx (+ (* y x) 1/9) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) | |
| 37.1% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 99.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) | |
| 57.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) | |
| 82.2% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) | |
| 99.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) | |
| ✓ | 99.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 37.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 89.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y)))) | |
| 39.3% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) | |
| 61.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 62.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| 61.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) | |
| ✓ | 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
| ✓ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | 39.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
| 61.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) | |
| 25.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) | |
| ✓ | 25.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| 44.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (/ 1/3 x) -3) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))) |
Compiled 1 463 to 504 computations (65.6% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(approx (+ (* y x) 1/9) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(approx (/ (+ (* -3 x) 1/3) x) #s(literal -3 binary64))) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.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 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (fma.f64 y x #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/3 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (/.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(approx (* (+ (/ 1/9 x) y) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(approx (+ y (/ 1/9 x)) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64)) y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1/3 binary64)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (+ (/ 1/3 x) -3) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) y)) #s(literal 3 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 #s(approx (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/9 binary64) (sqrt.f64 x))) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
#s(approx (+ (* (* (+ y (/ 1/9 x)) (sqrt x)) 3) (* -3 (sqrt x))) (*.f64 (fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/3 binary64))) x)) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #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 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) y (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 #s(literal -9 binary64) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x))))) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
3 calls:
| 20.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 20.0ms | y |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(approx (+ (* y x) 1/9) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) #s(approx (* (* (+ (/ 1/9 x) y) 3) (sqrt x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(approx (/ (+ (* -3 x) 1/3) x) #s(literal -3 binary64))) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (-.f64 (+.f64 y (/.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 1/9 binary64) x) y) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (/.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y)))) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
3 calls:
| 10.0ms | x |
| 9.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | y |
| 99.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(approx (+ (* y x) 1/9) #s(literal 1/9 binary64)) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
3 calls:
| 7.0ms | x |
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 2 | x |
| 89.1% | 3 | y |
| 91.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | x |
| 63.0% | 1 | y |
| 63.0% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 1 | x |
| 62.9% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 62.9% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 y #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
3 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | x |
| 61.6% | 3 | y |
| 57.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.2% | 1 | x |
| 25.2% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 25.2% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.671712853028273e+152 | 5.75813069035704e+153 |
| 0.0ms | -8.153309770202155e+64 | -2.711181267879563e+64 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.671712853028273e+152 | 5.75813069035704e+153 |
| 0.0ms | -4.0304361633141116e+43 | -7.039754618138828e+38 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.671712853028273e+152 | 5.75813069035704e+153 |
| 0.0ms | -8.153309770202155e+64 | -2.711181267879563e+64 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.671712853028273e+152 | 5.75813069035704e+153 |
| 0.0ms | -20.25695680724959 | 0.30630455797827016 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.671712853028273e+152 | 5.75813069035704e+153 |
| 0.0ms | -20.25695680724959 | 0.30630455797827016 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3819718943931546e-19 | 1.083499514384212e-16 |
| 13.0ms | -5.708924405111344e-19 | -2.658744504721616e-20 |
| 15.0ms | 240× | 0 | valid |
Compiled 304 to 212 computations (30.3% saved)
ival-mult: 4.0ms (40.6% of total)ival-div: 2.0ms (20.3% of total)ival-sqrt: 2.0ms (20.3% of total)ival-sub: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 4× | mul-1-neg_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 691 |
| 1 | 134 | 691 |
| 2 | 141 | 691 |
| 3 | 149 | 691 |
| 4 | 150 | 691 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -40000000000000000557488467837656396522848256 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) (sqrt.f64 x))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -40000000000000000557488467837656396522848256 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -40000000000000000557488467837656396522848256 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -49999999999999999604519313141816925411378060847115227682784149504 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (+ (* (+ y (/ 1/9 x)) (+ y (/ 1/9 x))) -1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal -20 binary64)) (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) (if (<=.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (if (<=.f64 y #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(if (<=.f64 y #s(literal -5815372481559007/10384593717069655257060992658440192 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (if (<=.f64 y #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (/ 1/3 x) -3) #s(literal -3 binary64)) (sqrt.f64 x))) |
| 10 642× | lower-fma.f64 |
| 10 642× | lower-fma.f32 |
| 9 312× | lower-*.f64 |
| 9 312× | lower-*.f32 |
| 9 212× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 0 | 163 | 3490 |
| 1 | 487 | 3337 |
| 2 | 1538 | 3167 |
| 3 | 3211 | 3159 |
| 0 | 8247 | 2923 |
| 0 | 42 | 187 |
| 0 | 66 | 187 |
| 1 | 254 | 179 |
| 2 | 1985 | 179 |
| 0 | 8272 | 176 |
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 0 | 37 | 219 |
| 0 | 60 | 203 |
| 1 | 240 | 181 |
| 2 | 2146 | 181 |
| 0 | 8466 | 177 |
| 0 | 773 | 7967 |
| 1 | 2448 | 7437 |
| 0 | 8320 | 7017 |
| 0 | 57 | 297 |
| 0 | 79 | 281 |
| 1 | 327 | 235 |
| 2 | 2840 | 235 |
| 0 | 9663 | 235 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 991 to 456 computations (54% saved)
Compiled 820 to 178 computations (78.3% saved)
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