
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 1.0s | 8 256× | 0 | valid |
| 25.0ms | 258× | 0 | invalid |
ival-sqrt: 313.0ms (39.9% of total)ival-mult: 244.0ms (31.1% of total)ival-div: 97.0ms (12.4% of total)ival-sub: 59.0ms (7.5% of total)ival-add: 48.0ms (6.1% of total)exact: 13.0ms (1.7% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 2 | (3.1223843950772237e+307 -6.414126518915888e-108) | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 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 | - | #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 |
| 48.0ms | 512× | 0 | valid |
Compiled 165 to 76 computations (53.9% saved)
ival-mult: 10.0ms (41.9% of total)ival-div: 4.0ms (16.8% of total)ival-sqrt: 4.0ms (16.8% of total)ival-sub: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)exact: 1.0ms (4.2% 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 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% 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 14 to 12 computations (14.3% 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 | 0.00390625 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.21712875976844204 | (*.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 | 0.30859375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.6431305772188309 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 27.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-sub: 6.0ms (37.5% of total)ival-mult: 5.0ms (31.2% of total)ival-div: 2.0ms (12.5% of total)ival-sqrt: 2.0ms (12.5% of total)ival-add: 1.0ms (6.2% 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 (* 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 (/ 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 (* 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 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 (* 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 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 #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 (* 1/3 (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)) (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 (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 (/ 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 (/ 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 (* 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)) (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 (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 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 (/ 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 (* -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) (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 (* -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 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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 2.0ms | x | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | x | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | 0 | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 1.0ms | y | @ | inf | ((/ 1 (* x 9)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* 3 (sqrt x)) (sqrt x) (+ y (/ 1 (* x 9)))) |
| 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 | 2216 | 541 |
| 4 | 6073 | 541 |
| 0 | 8418 | 509 |
| 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)))) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(* 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))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x 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)))))) |
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) |
(/ 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)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 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)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -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) (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 (* (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))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 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))) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 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))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 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)))))) |
(*.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)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(+.f64 y (/.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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) 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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) 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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(/ 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) |
(/ 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) |
(* 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) (pow.f64 x #s(literal 3 binary64)))) #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) (pow.f64 x #s(literal 3 binary64)))) #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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.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) |
(* -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) (pow.f64 x #s(literal 3 binary64)))) #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) (pow.f64 x #s(literal 3 binary64)))) #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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1 (* (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) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
| 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) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 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 (pow.f64 x #s(literal -1 binary64)) #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 (log.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (+.f64 (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 6 binary64)))) (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)) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (pow.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.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))) |
(*.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 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(pow.f64 (/.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
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(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (pow.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (*.f64 (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (+.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 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.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 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 4 binary64))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))))) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) (fma.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))) (*.f64 (*.f64 y (/.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 4 binary64))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y y (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 6 binary64))) (pow.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (neg.f64 y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x)))))) |
(neg.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64))) (fma.f64 #s(literal -1 binary64) y (/.f64 #s(literal 1/9 binary64) x)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 y (-.f64 y (/.f64 #s(literal 1/9 binary64) x))))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -81 binary64)))) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(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) (pow.f64 x #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64) y) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(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 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(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 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (-.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 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64)))) |
(-.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 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 81 binary64))))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
Compiled 5 815 to 785 computations (86.5% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 25 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 26 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (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))) |
| 99.4% | (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))) | |
| 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)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) | |
| ▶ | 61.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
| 99.4% | (*.f64 (fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| 99.0% | (*.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)))) | |
| 99.3% | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| 99.1% | (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 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)) |
| 99.1% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 58.7% | (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| 99.3% | (*.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))) |
| 19.9% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (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)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) | |
| 59.6% | (*.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))) | |
| 67.9% | #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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 67.3% | #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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) | |
| 60.4% | #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))) | |
| 59.7% | #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))) | |
| ▶ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| 38.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| ▶ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 900 to 648 computations (28% 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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 1792 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| cost-diff | 7168 | (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 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))) | |
| 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 | (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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 8 042× | lower-fma.f32 |
| 8 038× | lower-fma.f64 |
| 3 548× | lower-+.f32 |
| 3 546× | lower-+.f64 |
| 3 438× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 301 |
| 0 | 66 | 282 |
| 1 | 123 | 278 |
| 2 | 282 | 272 |
| 3 | 756 | 263 |
| 4 | 3312 | 263 |
| 0 | 8407 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (*.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 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) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 |
(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 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) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (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)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 4.049986286285989 | (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 20.918902665145886 | (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.15234375 | (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| accuracy | 0.265625 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.328125 | (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.265625 | (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.265625 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 38.11723775360022 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| accuracy | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.31640625 | (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) x) |
| 139.0ms | 224× | 0 | valid |
| 13.0ms | 22× | 1 | valid |
| 7.0ms | 10× | 2 | valid |
Compiled 287 to 42 computations (85.4% saved)
ival-sqrt: 45.0ms (43.9% of total)ival-mult: 21.0ms (20.5% of total)ival-div: 9.0ms (8.8% of total)ival-sub: 8.0ms (7.8% of total)const: 7.0ms (6.8% of total)ival-add: 5.0ms (4.9% of total)adjust: 3.0ms (2.9% of total)ival-pow2: 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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (*.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 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<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 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 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) 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 (/.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 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 x) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#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 x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#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 x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#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 x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#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 (- (* 1/3 (/ 1 x)) 3) (taylor 0 y) (#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 (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#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 (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#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 (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#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 (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* 3 (* (sqrt x) y)) (taylor 0 y) (#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 (* (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 (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#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 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) (taylor 0 y) (#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 (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#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 (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | y | @ | 0 | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (- (/ 1/9 x) 1) 3) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (- (+ y (/ 1/9 x)) -1) (/ 1/3 x) (/ 1/9 x) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) |
| 15.0ms | x | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (- (/ 1/9 x) 1) 3) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (- (+ y (/ 1/9 x)) -1) (/ 1/3 x) (/ 1/9 x) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) |
| 7.0ms | y | @ | -inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (- (/ 1/9 x) 1) 3) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (- (+ y (/ 1/9 x)) -1) (/ 1/3 x) (/ 1/9 x) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) |
| 7.0ms | x | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (- (/ 1/9 x) 1) 3) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (- (+ y (/ 1/9 x)) -1) (/ 1/3 x) (/ 1/9 x) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) |
| 5.0ms | y | @ | inf | ((* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y (sqrt x)) 3) (* y (sqrt x)) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (+ y (/ 1/9 x)) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (- (/ 1/9 x) 1) 3) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (- (+ y (/ 1/9 x)) -1) (/ 1/3 x) (/ 1/9 x) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) |
| 1× | egg-herbie |
| 10 086× | lower-fma.f64 |
| 10 086× | lower-fma.f32 |
| 9 456× | lower-*.f64 |
| 9 456× | lower-*.f32 |
| 3 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 791 | 8157 |
| 1 | 2487 | 7642 |
| 0 | 8422 | 7234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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y |
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(* 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)))))))))) |
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(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(* -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 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(* 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))))) |
(* -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 (- (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 y) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 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) (* (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)) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(* 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)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* (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)) |
(* 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)) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(* 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)) |
(* 1/3 (* (sqrt (/ 1 x)) (/ (+ 1 (* 1/9 (/ 1 x))) (- (* 1/81 (/ 1 (pow x 2))) 1)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+ (* 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))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) y (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
(+ (* 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)))))))))) |
(fma.f64 (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal 2/9 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x)))) y) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) y (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)))))) |
(+ (* 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)))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) y (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal 2/9 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 3 binary64)) x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2/9 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal 2/9 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal 2/9 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64)) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) #s(literal -2/9 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) y))))) |
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(+ (* 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))))))) |
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(+ (* -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))))) |
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(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2/9 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/81 binary64) y #s(literal 1/81 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2/9 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1/81 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 2/9 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/9 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/81 binary64) y #s(literal 1/81 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))))) (neg.f64 x))) (neg.f64 x))) |
(* -3 (* (sqrt x) (/ (* (pow (sqrt -1) 2) (- (pow y 2) 1)) (+ 1 y)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) #s(literal -3 binary64)) |
(* -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))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))))))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/81 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))))) (neg.f64 x)))) |
(* -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))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/81 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) #s(literal 1/81 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2/9 binary64) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 y #s(literal 1 binary64))) #s(literal 1/9 binary64))))) (neg.f64 x))) (neg.f64 x)))) |
(* 3 (- (pow y 2) 1)) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) |
(+ (* 2/3 (/ y x)) (* 3 (- (pow y 2) 1))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64) (*.f64 (/.f64 y x) #s(literal 2/3 binary64))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) y (/.f64 #s(literal -1/27 binary64) x)) (neg.f64 x))) |
(+ (* -1 (/ (- (* -2/3 y) (* 1/27 (/ 1 x))) x)) (* 3 (- (pow y 2) 1))) |
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64) (/.f64 (fma.f64 #s(literal -2/3 binary64) y (/.f64 #s(literal -1/27 binary64) x)) (neg.f64 x))) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) |
(+ 1 (+ y (* 1/9 (/ 1 x)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) 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) |
(/ 1/9 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) |
(* 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 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) |
(* -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) (pow.f64 x #s(literal 3 binary64)))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/27 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/27 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)))) |
| 6 620× | lower-*.f32 |
| 6 602× | lower-*.f64 |
| 4 590× | lower-/.f32 |
| 4 582× | lower-/.f64 |
| 3 538× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 229 |
| 0 | 66 | 213 |
| 1 | 262 | 201 |
| 2 | 2192 | 201 |
| 0 | 9814 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 y (sqrt.f64 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)) (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 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 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #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 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (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 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (-.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 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal -27 binary64) (*.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 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 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) (neg.f64 x) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) x (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 x) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) x (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 x)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1/3 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)))) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
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(fma.f64 y #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) #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 (/.f64 #s(literal 1/9 binary64) x) (-.f64 y #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(+.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.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 x)) |
(/.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) (/.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 (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 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 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 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #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 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.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 (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 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 3 binary64) #s(literal -3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 2 binary64)))) |
Compiled 38 310 to 3 949 computations (89.7% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 497 | 21 | 1 518 |
| Fresh | 16 | 4 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 516 | 28 | 1 544 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
| 60.4% | (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))) | |
| 51.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) | |
| 46.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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))))) | |
| ▶ | 38.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 51.4% | (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) | |
| 38.7% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 60.4% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 59.6% | (*.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))) | |
| 82.1% | (*.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)) | |
| 38.7% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 82.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.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)))) | |
| 59.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) | |
| 82.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) | |
| ▶ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
| 99.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))) | |
| 60.4% | #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))) | |
| 59.7% | #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))) | |
| 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ▶ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| ▶ | 91.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
| 38.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 82.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y))) |
Compiled 713 to 612 computations (14.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) | |
| cost-diff | 960 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) | |
| cost-diff | 128 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) x) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 128 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 832 | (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
| 7 284× | lower-fma.f32 |
| 7 276× | lower-fma.f64 |
| 2 628× | lower-/.f32 |
| 2 620× | lower-/.f64 |
| 2 536× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 323 |
| 0 | 77 | 321 |
| 1 | 136 | 309 |
| 2 | 286 | 309 |
| 3 | 735 | 293 |
| 4 | 2329 | 289 |
| 5 | 6345 | 289 |
| 0 | 8063 | 274 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1/3 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) y)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
(sqrt.f64 x) |
x |
#s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
y |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(/.f64 #s(literal 1/3 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) y)) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
#s(literal -3 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
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 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
(*.f64 #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/.f64 (fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) x) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) x #s(literal 1/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #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)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 3 binary64) |
#s(literal -3 binary64) |
(sqrt.f64 x) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23046875 | (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) | |
| accuracy | 0.265625 | (*.f64 (sqrt.f64 x) y) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 0.13671875 | (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.31640625 | (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) | |
| accuracy | 8.692159178783267 | (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.26953125 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 38.8712091675698 | #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.31869125976844204 | (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) | |
| accuracy | 38.11723775360022 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) x) |
| 80.0ms | 34× | 1 | valid |
| 72.0ms | 210× | 0 | valid |
| 10.0ms | 12× | 2 | valid |
Compiled 253 to 49 computations (80.6% saved)
ival-mult: 39.0ms (28.5% of total)ival-sub: 37.0ms (27% of total)adjust: 27.0ms (19.7% of total)ival-div: 11.0ms (8% of total)ival-add: 9.0ms (6.6% of total)const: 7.0ms (5.1% of total)ival-sqrt: 3.0ms (2.2% of total)ival-pow2: 3.0ms (2.2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) (patch (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) (patch (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<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 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) (patch (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) (patch (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) (patch (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) (patch (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt x)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #<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 (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (patch (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 x) y) (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (patch (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | -inf | ((+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (* (* (sqrt x) -3) (- 1 y)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (* (sqrt x) 3) (+ (* (* (- 1 y) x) -3) 1/3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (+ (* (/ 1/9 x) 3) -3) (/ 1/9 x) (* (sqrt x) -3) (/ (+ (* (* (- 1 y) x) -3) 1/3) x) (* (- 1 y) x) (* (sqrt x) y) (* (* (sqrt x) y) 3)) |
| 5.0ms | x | @ | inf | ((+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (* (* (sqrt x) -3) (- 1 y)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (* (sqrt x) 3) (+ (* (* (- 1 y) x) -3) 1/3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (+ (* (/ 1/9 x) 3) -3) (/ 1/9 x) (* (sqrt x) -3) (/ (+ (* (* (- 1 y) x) -3) 1/3) x) (* (- 1 y) x) (* (sqrt x) y) (* (* (sqrt x) y) 3)) |
| 5.0ms | x | @ | -inf | ((+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (* (* (sqrt x) -3) (- 1 y)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (* (sqrt x) 3) (+ (* (* (- 1 y) x) -3) 1/3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (+ (* (/ 1/9 x) 3) -3) (/ 1/9 x) (* (sqrt x) -3) (/ (+ (* (* (- 1 y) x) -3) 1/3) x) (* (- 1 y) x) (* (sqrt x) y) (* (* (sqrt x) y) 3)) |
| 3.0ms | y | @ | 0 | ((+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (* (* (sqrt x) -3) (- 1 y)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (* (sqrt x) 3) (+ (* (* (- 1 y) x) -3) 1/3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (+ (* (/ 1/9 x) 3) -3) (/ 1/9 x) (* (sqrt x) -3) (/ (+ (* (* (- 1 y) x) -3) 1/3) x) (* (- 1 y) x) (* (sqrt x) y) (* (* (sqrt x) y) 3)) |
| 3.0ms | x | @ | 0 | ((+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (* (* (sqrt x) -3) (- 1 y)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/ 1/3 x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* y 3) (sqrt x)) (* y 3) (sqrt x) (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (* (sqrt x) 3) (+ (* (* (- 1 y) x) -3) 1/3) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (+ (* (/ 1/9 x) 3) -3) (/ 1/9 x) (* (sqrt x) -3) (/ (+ (* (* (- 1 y) x) -3) 1/3) x) (* (- 1 y) x) (* (sqrt x) y) (* (* (sqrt x) y) 3)) |
| 1× | egg-herbie |
| 10 736× | lower-fma.f64 |
| 10 736× | lower-fma.f32 |
| 9 880× | lower-*.f64 |
| 9 880× | lower-*.f32 |
| 3 506× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 7537 |
| 1 | 2124 | 6974 |
| 2 | 7804 | 6946 |
| 0 | 8961 | 6575 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -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)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(+ (* -3 (sqrt x)) (* 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)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 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)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 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)))))))))) |
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(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt 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)))))))))) |
(* 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))))))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* x (- 1 y))) |
(* x (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))) |
(* x (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x)))) |
(* x (+ (* -3 (- 1 y)) (* 1/3 (/ 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) (- 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)))))) |
(* 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))))) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt 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))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 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)))))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(* -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))))))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* -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) (* 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)))) |
(* -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))) |
(* -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 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))))) |
(* -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 (* x (- 1 y))) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(* -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) (* (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)))))) |
(* -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 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 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 (- 1 y)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 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)))) |
(* -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)))) |
| Outputs |
|---|
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(* -3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* 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 #s(literal 3 binary64) (sqrt.f64 x)) (+.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 #s(literal 3 binary64) (sqrt.f64 x)) (+.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 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) |
(* 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 #s(literal 3 binary64) (sqrt.f64 x)) (+.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 #s(literal 3 binary64) (sqrt.f64 x)) (+.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 #s(literal 3 binary64) (sqrt.f64 x)) (+.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)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 (* (sqrt x) (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) |
(+ (* 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))))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2/9 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) x x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x x))) y (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(+ (* 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)))))))))) |
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(*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 2/9 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/81 binary64) y #s(literal 1/81 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))))) (neg.f64 x))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2/9 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/81 binary64) y #s(literal 1/81 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2/9 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1/81 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal 2/9 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 y y y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/81 binary64) y #s(literal 1/81 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 2 binary64))))))) (neg.f64 x))) (neg.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)) |
(* -3 (* x (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) x) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- (* 3 (- 1 y)) (* 1/3 (/ 1 x))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64) (/.f64 #s(literal -1/3 binary64) x)) (neg.f64 x)) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.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 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.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 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* 3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 y)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 y)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(* -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 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) (neg.f64 x)) |
(* -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 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) (neg.f64 x)) |
(* -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 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/3 binary64)))) (neg.f64 x)) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 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) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(* -3 (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) 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)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
| 6 026× | lower-*.f32 |
| 6 008× | lower-*.f64 |
| 4 192× | lower-/.f32 |
| 4 184× | lower-/.f64 |
| 4 022× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 268 |
| 0 | 77 | 266 |
| 1 | 310 | 238 |
| 2 | 2493 | 238 |
| 0 | 9223 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal 3 binary64)) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) x (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)))) (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (-.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 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) x))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -27 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -3 binary64)) |
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 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 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #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 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) x #s(literal -1/3 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1/27 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) x #s(literal -1/3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) #s(literal -1/9 binary64)) (*.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) x #s(literal -1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) #s(literal -27 binary64) #s(literal 1/27 binary64)) (*.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 y))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 y))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
Compiled 17 932 to 1 960 computations (89.1% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 860 | 11 | 871 |
| Fresh | 7 | 13 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 869 | 30 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.4% | (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))) |
| 60.4% | (fma.f64 #s(approx (+ (* (/ 1/9 x) 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| 51.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) | |
| 46.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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))))) | |
| ✓ | 38.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ▶ | 38.7% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 60.4% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 59.6% | (*.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))) | |
| 82.1% | (*.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)) | |
| 38.7% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 59.7% | #s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 82.2% | #s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)) | |
| 59.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))) | |
| ▶ | 82.1% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) |
| ✓ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
| 60.4% | #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))) | |
| 56.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) | |
| ▶ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ▶ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 69.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 #s(approx (* (- 1 y) x) (*.f64 (neg.f64 y) x)) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) | |
| 59.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)))) | |
| 32.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)))) | |
| 38.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) #s(literal 1/3 binary64)) x)))) | |
| 91.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x))))) | |
| 99.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
Compiled 698 to 607 computations (13% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) | |
| cost-diff | 320 | (*.f64 #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))) | |
| cost-diff | 832 | (*.f64 (*.f64 #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) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 x)) | |
| cost-diff | 960 | (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))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (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 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| 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 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
| 12 162× | lower-fma.f32 |
| 12 158× | lower-fma.f64 |
| 3 616× | lower-*.f32 |
| 3 594× | lower-*.f64 |
| 1 864× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 310 |
| 0 | 73 | 301 |
| 1 | 132 | 281 |
| 2 | 277 | 270 |
| 3 | 592 | 270 |
| 4 | 1433 | 270 |
| 5 | 3914 | 270 |
| 0 | 8546 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (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))))) |
(sqrt.f64 x) |
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 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(literal -3 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(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))) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) |
(*.f64 (*.f64 #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) |
(*.f64 #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))) |
#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 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
y |
(sqrt.f64 x) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 binary64) (*.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)) |
(sqrt.f64 x) |
x |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) |
(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 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#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 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
y |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
(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))) |
(*.f64 (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #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) #s(literal -3 binary64)) (sqrt.f64 x)) |
#s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 #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) |
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(*.f64 #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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal -3 binary64)) (sqrt.f64 x)) |
#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 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (sqrt.f64 x)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
x |
#s(literal 1 binary64) |
y |
(sqrt.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (*.f64 #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))) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 4.184831067216911 | (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 7.12249704542209 | (*.f64 (*.f64 #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) | |
| accuracy | 0.1328125 | (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))) | |
| accuracy | 0.265625 | (*.f64 y (sqrt.f64 x)) | |
| accuracy | 0.328125 | (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) | |
| accuracy | 34.47420789967351 | #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.265625 | (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 38.91297249808657 | #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 38.11723775360022 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) | |
| accuracy | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) | |
| accuracy | 0.09765625 | (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.31640625 | (*.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))))) | |
| accuracy | 0.45262065843074495 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
| 160.0ms | 224× | 0 | valid |
| 11.0ms | 22× | 1 | valid |
| 6.0ms | 10× | 2 | valid |
Compiled 259 to 40 computations (84.6% saved)
ival-mult: 64.0ms (49.8% of total)ival-sqrt: 38.0ms (29.6% of total)ival-div: 7.0ms (5.4% of total)ival-add: 6.0ms (4.7% of total)ival-sub: 5.0ms (3.9% of total)const: 4.0ms (3.1% of total)adjust: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) #<representation binary64>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<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 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<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 (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/9 binary64) x) (patch (/.f64 #s(literal 1/9 binary64) x) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 x)) (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) (patch (*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #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) (patch (*.f64 (*.f64 #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) #<representation binary64>) () ()) |
#s(alt (*.f64 #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))) (patch (*.f64 #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))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) (patch #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) (patch (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (patch #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) (taylor 0 y) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) (taylor 0 y) (#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 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(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 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(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 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(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) (taylor 0 y) (#s(alt (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (patch (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/9 (/ 1 x)) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ y (* 1/9 (/ 1 x))) 1) (taylor 0 y) (#s(alt #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #<representation binary64>) () ())) ()) |
#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) #s(literal -3 binary64)) (sqrt.f64 x))) (patch (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))) #<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) #s(literal -3 binary64)) (sqrt.f64 x))) (patch (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))) #<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) #s(literal -3 binary64)) (sqrt.f64 x))) (patch (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))) #<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) #s(literal -3 binary64)) (sqrt.f64 x))) (patch (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))) #<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 (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #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) (patch (*.f64 (*.f64 #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) #<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) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) y) (patch (*.f64 (*.f64 #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) #<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) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) y) (patch (*.f64 (*.f64 #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) #<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) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (sqrt.f64 x))) y) (patch (*.f64 (*.f64 #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) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) (taylor 0 y) (#s(alt (*.f64 #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))) (patch (*.f64 #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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) y) (taylor 0 y) (#s(alt (*.f64 #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))) (patch (*.f64 #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))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3 (- 1 y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor -inf x) (#s(alt #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (patch #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (patch #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (patch #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor -inf x) (#s(alt #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (patch #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* y (sqrt x)) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) y) (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (- (/ 1/9 x) 1) 3)) |
| 3.0ms | x | @ | 0 | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* y (sqrt x)) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) y) (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (- (/ 1/9 x) 1) 3)) |
| 3.0ms | x | @ | inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* y (sqrt x)) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) y) (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (- (/ 1/9 x) 1) 3)) |
| 3.0ms | y | @ | 0 | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* y (sqrt x)) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) y) (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (- (/ 1/9 x) 1) 3)) |
| 3.0ms | y | @ | -inf | ((/ 1 (* x 3)) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (sqrt x) (+ (* (- 1 y) -3) (/ 1 (* x 3)))) (sqrt x) (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (* (* (sqrt x) 3) y) (* (sqrt x) 3) (* (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) 3) (* (- (+ y (/ 1/9 x)) 1) (sqrt x)) (- (+ y (/ 1/9 x)) 1) (/ 1/9 x) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* y (sqrt x)) (* (* (- (/ 1/9 x) 1) 3) (sqrt x)) (* (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) y) (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (+ (* (- 1 y) -3) (/ 1 (* x 3))) (* (- (/ 1/9 x) 1) 3)) |
| 1× | egg-herbie |
| 10 258× | lower-fma.f64 |
| 10 258× | lower-fma.f32 |
| 4 732× | lower-*.f64 |
| 4 732× | lower-*.f32 |
| 1 922× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 4416 |
| 1 | 738 | 4346 |
| 2 | 2589 | 4275 |
| 3 | 5459 | 4275 |
| 0 | 8391 | 4048 |
| 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)))) |
(* (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) (- (* 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)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 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)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 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)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (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)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(/ (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) y) |
(/ (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) 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)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)) |
(/ (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) y) |
(/ (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) y) |
(/ (+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) y) |
(- (* 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 (* (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)) |
(* 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)) |
(* 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)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 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))))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* y (+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
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))) |
(* 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))))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* 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)) |
(+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(* 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))))) |
(sqrt x) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(* 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 (* (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)) |
(* -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)))))) |
(* 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)) |
(* -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)))))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1) y)) 1))) |
(* 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)))))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) 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) (/ (- (* 1/9 (/ 1 x)) 1) y)))) |
(+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) 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)))))) |
(sqrt x) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))) |
(+ (sqrt x) (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 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 x) |
(/ 1/3 x) |
(/ 1/3 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) |
(* 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) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt 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)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt 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) |
(* 1/9 (sqrt (/ 1 x))) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ (+ (* 1/9 (sqrt x)) (* (sqrt (pow x 3)) (- y 1))) x) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 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) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) 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) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (* y (- 1 (/ 1 y)))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (* y (- 1 (/ 1 y)))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (* y (- 1 (/ 1 y)))))) x) |
(* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (* (sqrt (pow x 3)) (- 1 (/ 1 y))))) x) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (* (sqrt (pow x 3)) (- 1 (/ 1 y))))) x) |
(/ (+ (* 1/3 (* (sqrt x) (/ 1 y))) (* 3 (* (sqrt (pow x 3)) (- 1 (/ 1 y))))) x) |
(* 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) |
(* 1/9 (* (sqrt (/ 1 x)) (/ 1 y))) |
(/ (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 1 (/ 1 y)))) x) |
(/ (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 1 (/ 1 y)))) x) |
(/ (+ (* 1/9 (* (sqrt x) (/ 1 y))) (* (sqrt (pow x 3)) (- 1 (/ 1 y)))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ (+ 1/3 (* -3 (* x (- 1 y)))) x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 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) (- 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)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt 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) 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) (- 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))))) |
(* (sqrt x) (- y 1)) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(* x (+ (* 1/9 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- y 1)))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 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))))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -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) (* y (- 1 (/ 1 y))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* y (- 1 (/ 1 y))))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* y (- 1 (/ 1 y))))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (* y (- 1 (/ 1 y))))))) |
(* 3 (* (sqrt x) (- 1 (/ 1 y)))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (* (sqrt (/ 1 x)) (- 1 (/ 1 y)))))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (* (sqrt (/ 1 x)) (- 1 (/ 1 y)))))) |
(* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (* (sqrt (/ 1 x)) (- 1 (/ 1 y)))))) |
(* 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))))) |
(* (sqrt x) (- 1 (/ 1 y))) |
(* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 1 (/ 1 y))))) |
(* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 1 (/ 1 y))))) |
(* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* (sqrt (/ 1 x)) (- 1 (/ 1 y))))) |
(* -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 |
(- (* 1/3 (/ 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) |
(* -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) (* (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)))))) |
(* -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))) |
(* -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) (* 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) (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) (* (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))))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1)))))) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -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 (* (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)))) |
(* 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) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 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 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(* -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 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
| Outputs |
|---|
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) y)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(* (sqrt x) (- (* 1/9 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ (* (sqrt x) y) (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (* 1/9 (/ 1 x)) 1) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(* (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)) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (*.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
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(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 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 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -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 (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) (pow.f64 x #s(literal 3 binary64)))) #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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) 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)) |
(* 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) x) |
(* -3 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))) |
(*.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)) (* y (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #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) (- 1 (/ 1 y))))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #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) (- 1 (/ 1 y))))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))) |
(*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -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 (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) (pow.f64 x #s(literal 3 binary64)))) #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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #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))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(*.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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))) |
(-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* 1/9 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) y))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (/ 1 y))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -3 (- 1 y)) |
(fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
(+ (* -3 (- 1 y)) (* 1/3 (/ 1 x))) |
(fma.f64 y #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
(- (* 1/3 (/ 1 x)) 3) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) |
| 7 144× | lower-*.f32 |
| 7 122× | lower-*.f64 |
| 4 904× | lower-/.f32 |
| 4 898× | lower-/.f64 |
| 4 038× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 252 |
| 0 | 73 | 252 |
| 1 | 262 | 233 |
| 2 | 2201 | 233 |
| 0 | 10310 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (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))))) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) |
#s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(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))) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 #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) |
(*.f64 #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))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) #s(literal 1 binary64)) (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 (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))) |
(exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) x))) |
#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 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (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 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (sqrt.f64 x)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (-.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 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal -27 binary64) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y))) |
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(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) |
Compiled 12 493 to 1 460 computations (88.3% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 11 | 770 |
| Fresh | 10 | 9 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 770 | 30 | 800 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 60.4% | (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))) |
| 60.4% | (fma.f64 (sqrt.f64 x) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) | |
| 33.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64))))) | |
| ✓ | 38.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 38.6% | (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) | |
| ✓ | 38.7% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 38.7% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (sqrt.f64 x)) | |
| 60.4% | (*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) | |
| 99.3% | (*.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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 60.4% | (*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) | |
| 38.7% | #s(approx (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) | |
| 59.7% | #s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (sqrt.f64 x))) | |
| 82.2% | #s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y)) | |
| 56.6% | #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)) | |
| 56.6% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)))) y)) | |
| 42.4% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y)) | |
| 31.6% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) | |
| 56.7% | #s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) y)) | |
| ✓ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
| 56.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) | |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| ✓ | 40.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| ✓ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
| 38.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 59.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)))) | |
| 32.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)))) | |
| 99.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
Compiled 1 405 to 618 computations (56% saved)
| Inputs |
|---|
#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 (* (* 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) |
(*.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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 #s(literal 1/3 binary64) 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 (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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))) |
#s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.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)) #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)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) y)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)))) |
(fma.f64 #s(approx (+ (* (/ 1/9 x) 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (*.f64 (*.f64 (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) #s(literal -3 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 #s(approx (* (- 1 y) x) (*.f64 (neg.f64 y) x)) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) |
(*.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(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)))) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y))) |
#s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (*.f64 (sqrt.f64 x) (+.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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y) (sqrt.f64 x)))) y)) |
(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 (*.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 (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #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)) |
(*.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 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.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)))) |
(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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 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 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) 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) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) #s(literal 1 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 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 x) (-.f64 (*.f64 y #s(literal 3 binary64)) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 y (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))) #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)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (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)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
3 calls:
| 178.0ms | y |
| 35.0ms | (*.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))) |
| 25.0ms | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#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 (* (* 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) |
(*.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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 #s(literal 1/3 binary64) 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 (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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))) |
#s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.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)) #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)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) y)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (*.f64 (*.f64 y x) #s(literal 3 binary64))) x)))) |
(fma.f64 #s(approx (+ (* (/ 1/9 x) 3) -3) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)) (*.f64 (*.f64 (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) #s(literal -3 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 #s(approx (* (- 1 y) x) (*.f64 (neg.f64 y) x)) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64) y) #s(literal 1 binary64))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) |
(*.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(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x)) (-.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)))) y)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (*.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* (sqrt x) (+ (* (- 1 y) -3) (/ 1/3 x))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) y) #s(literal 3 binary64))) y))) |
#s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.f64 (*.f64 (sqrt.f64 x) (+.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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (+ (* (/ 1/3 x) (sqrt x)) (* (* (sqrt x) -3) (- 1 y))) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 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 calls:
| 35.0ms | y |
| 13.0ms | x |
| 12.0ms | (*.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 |
|---|---|---|
| 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#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 (* (* 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) |
(*.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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 #s(literal 1/3 binary64) 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 (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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))) |
#s(approx (+ (* (+ (* (/ 1/9 x) 3) -3) (sqrt x)) (* (* (sqrt x) y) 3)) (*.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)) #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)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(approx (- (+ y (/ 1/9 x)) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)))) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 #s(approx (* 3 (* (+ (/ (- (/ 1/9 x) 1) y) 1) (sqrt x))) (*.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) y)) (sqrt.f64 x))) y)) |
#s(approx (+ (* (* y (sqrt x)) 3) (* (* (- (/ 1/9 x) 1) 3) (sqrt x))) (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 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))) |
| 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))) |
#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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
3 calls:
| 8.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.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 |
|---|---|---|
| 85.5% | 2 | x |
| 86.5% | 3 | y |
| 92.2% | 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 16 computations (0% saved)
| Inputs |
|---|
#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 (* (* 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) |
(*.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 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(approx (+ (* (* (- 1 y) x) -3) 1/3) #s(literal 1/3 binary64)) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1 (* x 3))) (/.f64 #s(literal 1/3 binary64) 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 (/ 1 (/ (- (+ y (/ 1/9 x)) -1) (* (* (- (pow (+ y (/ 1/9 x)) 2) 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) (* (* (- (pow (+ y (/ 1/9 x)) 2) 1) 3) (sqrt x))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| 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))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) |
#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))) |
1 calls:
| 4.0ms | (*.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 |
|---|---|---|
| 90.9% | 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 14 to 12 computations (14.3% saved)
| Inputs |
|---|
#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 (* (* 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (fma.f64 y #s(literal 3 binary64) #s(approx (* (- (/ 1/9 x) 1) 3) #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(approx (- (+ y (/ 1/9 x)) 1) (-.f64 y #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) |
| 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:
| 4.0ms | y |
| 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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 1 | y |
| 60.4% | 1 | x |
| 60.4% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) y)) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) 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 |
|---|---|---|
| 40.3% | 1 | y |
| 40.3% | 1 | x |
| 40.3% | 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 16 to 16 computations (0% saved)
| Inputs |
|---|
#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))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
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 |
|---|---|---|
| 40.3% | 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))) |
| 40.3% | 1 | x |
| 40.3% | 1 | y |
Compiled 16 to 16 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
3 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))) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.3% | 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))) |
| 40.3% | 1 | x |
| 40.3% | 1 | y |
Compiled 16 to 16 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.390206623456847e+152 | 1.7622923733419046e+162 |
| 0.0ms | -919306404.5984017 | -736211.7595686711 |
Compiled 17 to 17 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.390206623456847e+152 | 1.7622923733419046e+162 |
| 0.0ms | -0.8713074793333747 | 17.76195734405515 |
Compiled 17 to 17 computations (0% saved)
| 1× | egg-herbie |
| 32× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 12× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 350 |
| 1 | 85 | 350 |
| 2 | 92 | 350 |
| 3 | 98 | 350 |
| 4 | 106 | 350 |
| 5 | 117 | 350 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 -500000000 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 (*.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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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 (fma.f64 y #s(literal 3 binary64) #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 -1/2 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 (*.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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) #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))))) |
#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))) |
#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 (*.f64 y (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))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.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 -500000000 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 (*.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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 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 (fma.f64 y #s(literal 3 binary64) #s(literal -3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal -500000000 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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #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 (*.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 -1/2 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 (*.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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)))) #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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal -1/2 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 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x)) y) #s(literal 1 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* (- 1 y) -3) (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x))) #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))))) |
#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))) |
#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 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x))) |
| 10 086× | lower-fma.f64 |
| 10 086× | lower-fma.f32 |
| 9 456× | lower-*.f64 |
| 9 456× | lower-*.f32 |
| 9 212× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2216 | 541 |
| 4 | 6073 | 541 |
| 0 | 8418 | 509 |
| 0 | 42 | 229 |
| 0 | 66 | 213 |
| 1 | 262 | 201 |
| 2 | 2192 | 201 |
| 0 | 9814 | 197 |
| 0 | 791 | 8157 |
| 1 | 2487 | 7642 |
| 0 | 8422 | 7234 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 246 to 130 computations (47.2% saved)
Compiled 408 to 150 computations (63.2% saved)
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