
Time bar (total: 10.4s)
| 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)
| 989.0ms | 8 256× | 0 | valid |
| 23.0ms | 257× | 0 | invalid |
ival-mult: 385.0ms (48% of total)ival-sqrt: 147.0ms (18.3% of total)ival-add: 103.0ms (12.8% of total)ival-sub: 79.0ms (9.8% of total)ival-div: 67.0ms (8.3% of total)exact: 11.0ms (1.4% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.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 |
| 46.0ms | 512× | 0 | valid |
Compiled 118 to 40 computations (66.1% saved)
ival-mult: 14.0ms (50.9% of total)ival-div: 4.0ms (14.5% of total)ival-sqrt: 4.0ms (14.5% of total)ival-sub: 2.0ms (7.3% of total)ival-add: 2.0ms (7.3% of total)exact: 1.0ms (3.6% 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 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 16 to 12 computations (25% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 3 216× | lower-fma.f64 |
| 3 216× | lower-fma.f32 |
| 1 344× | lower-*.f32 |
| 1 338× | lower-*.f64 |
| 546× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 49 |
| 0 | 19 | 49 |
| 1 | 34 | 41 |
| 2 | 75 | 41 |
| 3 | 186 | 41 |
| 4 | 324 | 41 |
| 5 | 425 | 41 |
| 6 | 841 | 41 |
| 7 | 1707 | 41 |
| 8 | 2627 | 41 |
| 9 | 3358 | 41 |
| 10 | 3543 | 41 |
| 11 | 3573 | 41 |
| 12 | 3574 | 41 |
| 13 | 3574 | 41 |
| 14 | 3776 | 41 |
| 15 | 4021 | 41 |
| 16 | 4491 | 41 |
| 17 | 4491 | 41 |
| 18 | 4491 | 41 |
| 0 | 4491 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.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 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) |
(+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
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)) |
#s(literal 9 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.21875 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.5038103005208858 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 42.0ms | 256× | 0 | valid |
Compiled 51 to 14 computations (72.5% saved)
ival-sqrt: 25.0ms (74.4% of total)ival-mult: 4.0ms (11.9% of total)ival-div: 2.0ms (6% of total)ival-sub: 1.0ms (3% of total)ival-add: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (sqrt x)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor 0 y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* 1/9 (/ 1 (* x y))))) (taylor -inf y) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/9 x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/9 (* x y)) x) (taylor 0 x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* 1/9 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | 0 | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 0.0ms | y | @ | inf | (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) |
| 1× | egg-herbie |
| 9 212× | lower-fma.f64 |
| 9 212× | lower-fma.f32 |
| 4 246× | lower-*.f64 |
| 4 246× | lower-*.f32 |
| 2 696× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 y (*.f64 (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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(* 3 (* (sqrt x) y)) |
(*.f64 y (*.f64 (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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #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)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(+ y (* 1/9 (/ 1 x))) |
(+.f64 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)) |
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)) |
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 y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) 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)) |
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 |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 81 binary64)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(+.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 y #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 3 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 y y (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) |
(pow.f64 (/.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 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 (+.f64 y (/.f64 #s(literal -1/9 binary64) x)) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(*.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)) (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y)))) |
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) |
(*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))))) |
(*.f64 (neg.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 y) (/.f64 #s(literal 1/9 binary64) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 x #s(literal 9 binary64))) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) y) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y))))) (fma.f64 y y (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (/.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (-.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64))))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) (*.f64 y y))) |
Compiled 6 680 to 748 computations (88.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 16 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 17 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| ▶ | 99.4% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
| 99.3% | (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) | |
| 99.0% | (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) | |
| 99.4% | (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) y) #s(literal 1 binary64))) | |
| 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| ✓ | 99.4% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 66.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal 1 binary64))) | |
| ▶ | 59.8% | (*.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))) |
| 67.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
| 62.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| 59.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| ▶ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ▶ | 69.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
| 35.7% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 512 to 364 computations (28.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 128 | (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| cost-diff | 832 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) | |
| cost-diff | 0 | (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
| 7 484× | lower-fma.f32 |
| 7 476× | lower-fma.f64 |
| 3 334× | lower-*.f32 |
| 3 312× | lower-*.f64 |
| 1 220× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 322 |
| 0 | 72 | 315 |
| 1 | 139 | 297 |
| 2 | 321 | 292 |
| 3 | 563 | 292 |
| 4 | 687 | 292 |
| 5 | 905 | 292 |
| 6 | 1498 | 292 |
| 7 | 2568 | 292 |
| 8 | 4187 | 292 |
| 9 | 5796 | 292 |
| 10 | 6318 | 292 |
| 11 | 6612 | 292 |
| 12 | 6836 | 292 |
| 13 | 7221 | 292 |
| 14 | 7698 | 292 |
| 15 | 7856 | 292 |
| 0 | 8109 | 289 |
| 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
#s(literal 3 binary64) |
y |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
#s(literal 3 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
x |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
#s(literal 3 binary64) |
y |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y)) |
y |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -3 binary64))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1 binary64)) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
#s(literal 1 binary64) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 3 binary64) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) y) |
(+.f64 y (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
#s(literal 1/9 binary64) |
y |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
x |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2716626498699338 | (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 0.33203125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| accuracy | 9.93375576750278 | (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| accuracy | 21.04892861255369 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) | |
| accuracy | 0.08203125 | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) | |
| accuracy | 0.23046875 | (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) | |
| accuracy | 0.3125 | (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 0.21875 | (*.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))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.33203125 | (/.f64 #s(literal 1/9 binary64) x) | |
| accuracy | 32.483268763011246 | #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.2265625 | (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) | |
| accuracy | 37.58392933129944 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| accuracy | 0.3515625 | (/.f64 #s(literal 1/3 binary64) x) |
| 105.0ms | 217× | 0 | valid |
| 12.0ms | 22× | 1 | valid |
| 10.0ms | 16× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 280 to 41 computations (85.4% saved)
ival-mult: 23.0ms (39.4% of total)ival-add: 9.0ms (15.4% of total)ival-div: 8.0ms (13.7% of total)const: 7.0ms (12% of total)ival-sqrt: 6.0ms (10.3% of total)adjust: 3.0ms (5.1% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (patch (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (patch (*.f64 y (*.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 (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (patch (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) (patch (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) (patch (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) (patch (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (patch (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (patch (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #<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 -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) (patch #s(approx (+ y (/ 1 (* x 9))) (/.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) (taylor -inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor 0 x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (- (* 3 y) 3)) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3 (sqrt (/ 1 x))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (/ 1 x)) y)) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) (taylor inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt (/ 1 x)) y)) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) (taylor -inf y) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* y (* (sqrt x) 3)) |
| 2.0ms | y | @ | inf | (* 3 (+ (/ 1/9 x) y)) |
| 1.0ms | x | @ | inf | (* (sqrt x) (+ (* 3 y) (+ -3 (/ 1/3 x)))) |
| 1.0ms | y | @ | 0 | (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) |
| 1.0ms | x | @ | -inf | (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) |
| 1× | egg-herbie |
| 12 222× | lower-fma.f64 |
| 12 222× | lower-fma.f32 |
| 4 298× | lower-*.f64 |
| 4 298× | lower-*.f32 |
| 2 410× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 4806 |
| 1 | 700 | 4571 |
| 2 | 2325 | 4529 |
| 3 | 4909 | 4529 |
| 0 | 8386 | 4216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (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)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 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))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(/ (+ 1/3 (* 3 (* x y))) x) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(/ 1/3 x) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(+ (* 3 y) (* 1/3 (/ 1 x))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 3 y) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* y (+ 3 (* 1/3 (/ 1 (* x y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) y))) x) |
(* 3 (* (sqrt x) y)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* -3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* 1/3 (sqrt (/ 1 x))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* y (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1/3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt (/ 1 (pow x 3))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(/ 1/9 x) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
y |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(* y (+ 1 (* 1/9 (/ 1 (* x y))))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
(/ (+ 1/9 (* x y)) x) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
y |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(+ y (* 1/9 (/ 1 x))) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
(/ 1 (pow x 3)) |
| Outputs |
|---|
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
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(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
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(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(sqrt (/ 1 (pow x 3))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #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)) |
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)) |
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 y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) x) |
(/ (+ 1/9 (* x y)) x) |
(/.f64 (fma.f64 x y #s(literal 1/9 binary64)) 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)) |
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) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| 5 144× | lower-*.f32 |
| 5 122× | lower-*.f64 |
| 3 520× | lower-/.f32 |
| 3 512× | lower-/.f64 |
| 3 312× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 266 |
| 0 | 72 | 253 |
| 1 | 280 | 223 |
| 2 | 2314 | 219 |
| 0 | 8159 | 217 |
| 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 x) |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) |
(*.f64 #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)) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1/3 binary64) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 x (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) x (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64))) (sqrt.f64 x)) (fma.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x)) |
(*.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
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(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(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) (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64) #s(literal -3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64))) |
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) #s(literal 9 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x))) |
(*.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -9 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(+.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) y (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 3 binary64) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) |
(/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64))) (sqrt.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal -27 binary64) (*.f64 x (sqrt.f64 x)))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (sqrt.f64 x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) #s(literal -27 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal 9 binary64)) (*.f64 y #s(literal -9 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)))) x) |
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)))) x) |
(/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) x) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) x) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) |
(pow.f64 x #s(literal -3 binary64)) |
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 25 694 to 2 233 computations (91.3% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 166 | 24 | 1 190 |
| Fresh | 10 | 1 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 179 | 28 | 1 207 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) | |
| 54.4% | (*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) | |
| 59.7% | (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| 59.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) | |
| 59.8% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) | |
| ✓ | 59.8% | (*.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))) |
| 35.6% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) | |
| 62.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 80.1% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 55.8% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| 41.1% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| ▶ | 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| 88.2% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) | |
| ▶ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| ▶ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
| 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) | |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
| 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) | |
| 75.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 62.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) | |
| 59.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 35.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 1/3 x))) (/.f64 #s(literal 1/3 binary64) x)))) | |
| ▶ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
| ✓ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ▶ | 58.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
| 36.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) | |
| 2.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
Compiled 750 to 498 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) | |
| cost-diff | 320 | (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
| 4 416× | lower-fma.f32 |
| 4 412× | lower-fma.f64 |
| 2 016× | lower-*.f32 |
| 1 998× | lower-*.f64 |
| 956× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 340 |
| 0 | 74 | 326 |
| 1 | 138 | 307 |
| 2 | 286 | 302 |
| 3 | 441 | 302 |
| 4 | 559 | 302 |
| 5 | 761 | 302 |
| 6 | 1271 | 302 |
| 7 | 2090 | 302 |
| 8 | 3215 | 302 |
| 9 | 4405 | 302 |
| 10 | 4816 | 302 |
| 11 | 4935 | 302 |
| 12 | 4998 | 302 |
| 13 | 5041 | 302 |
| 14 | 5404 | 302 |
| 15 | 5605 | 302 |
| 16 | 5605 | 302 |
| 17 | 5617 | 302 |
| 18 | 5617 | 302 |
| 19 | 5617 | 302 |
| 20 | 5769 | 302 |
| 21 | 5808 | 302 |
| 22 | 5808 | 302 |
| 0 | 5808 | 299 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(literal 3 binary64) |
y |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal -3 binary64) |
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) |
(+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) |
#s(literal 3 binary64) |
y |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal -3 binary64) |
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
(sqrt.f64 x) |
x |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal -3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (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))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2265625 | (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.27734375 | (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) | |
| accuracy | 37.58392933129944 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) | |
| accuracy | 0.08203125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.33203125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) | |
| accuracy | 9.93375576750278 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| accuracy | 23.935242314834127 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.08203125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.34375 | (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 41.04449278584683 | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) y) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.328125 | (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) | |
| accuracy | 37.58392933129944 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) | |
| accuracy | 0.00390625 | (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) | |
| accuracy | 0.40453281028932775 | (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
| 89.0ms | 229× | 0 | valid |
| 9.0ms | 18× | 1 | valid |
| 6.0ms | 9× | 2 | valid |
Compiled 256 to 44 computations (82.8% saved)
ival-mult: 43.0ms (51.3% of total)ival-div: 16.0ms (19.1% of total)ival-add: 9.0ms (10.7% of total)ival-sqrt: 6.0ms (7.2% of total)const: 6.0ms (7.2% of total)adjust: 2.0ms (2.4% of total)ival-sub: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) (patch (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(literal 3 binary64) y) (sqrt.f64 x))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) (patch (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) y) (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) (patch (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (patch #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (patch (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) (patch (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) (patch (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) (taylor 0 x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) (- y 1))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) (taylor inf x) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* (sqrt x) y)) (taylor inf y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) (taylor inf y) (#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) (taylor 0 y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) (taylor inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) (taylor -inf y) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* x (- (* 3 y) 3))) x) (taylor 0 x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 y) 3) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 3 y) 3) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) (taylor -inf x) (#s(alt (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) (patch (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) #<representation binary64>) () ())) ()) |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* y (* (/ 1 (sqrt (/ 1 x))) 3)) |
| 1.0ms | x | @ | -inf | (* (/ 1 (sqrt (/ 1 x))) 3) |
| 0.0ms | x | @ | -inf | (* 1/3 (sqrt (/ 1 x))) |
| 0.0ms | y | @ | -inf | (* 3 y) |
| 0.0ms | y | @ | inf | (* 3 y) |
| 1× | egg-herbie |
| 13 838× | lower-fma.f64 |
| 13 838× | lower-fma.f32 |
| 4 666× | lower-*.f64 |
| 4 666× | lower-*.f32 |
| 1 860× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 4328 |
| 1 | 586 | 4024 |
| 2 | 2011 | 3991 |
| 3 | 4187 | 3981 |
| 0 | 8430 | 3672 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(/ 1/3 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) (* y (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 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(/ (+ (* 1/3 (sqrt x)) (* x (+ (* -3 (sqrt x)) (* 3 (* (sqrt x) y))))) x) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) |
(+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(+ (* -3 (sqrt x)) (+ (* 1/3 (sqrt (/ 1 x))) (* 3 (* (sqrt x) y)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* y (+ (* -3 (* (sqrt x) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt x))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (+ (* -3 (sqrt x)) (* 1/3 (sqrt (/ 1 x)))) y))))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -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) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(* -1 (sqrt x)) |
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
| Outputs |
|---|
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (sqrt.f64 x) (+.f64 #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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 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 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
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(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal 3 binary64) (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) |
| 5 534× | lower-*.f32 |
| 5 516× | lower-*.f64 |
| 3 898× | lower-/.f32 |
| 3 892× | lower-/.f64 |
| 3 364× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 297 |
| 0 | 74 | 274 |
| 1 | 274 | 225 |
| 2 | 2160 | 225 |
| 0 | 8621 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) y) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64)))) |
(fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -3 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -9 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x))) |
(/.f64 #s(literal -3 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 3 binary64) x)) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1/9 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(+.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(+.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(-.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (+.f64 y (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal -3 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (sqrt.f64 x))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 y (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))) (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.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 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)) (*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 (+.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)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 x #s(literal 9 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) (*.f64 (+.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)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))) (fma.f64 (+.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)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
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(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) #s(literal -9 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 3 binary64) x)))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) #s(literal -9 binary64))) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 y y) #s(literal -9 binary64))) (neg.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) #s(literal -1/3 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64))) (neg.f64 x))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (neg.f64 (*.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (neg.f64 (*.f64 x #s(literal -9 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (*.f64 x #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x #s(literal -9 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) x (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) x)) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (neg.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal 9 binary64) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 3 binary64) x))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal 9 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) #s(literal -9 binary64) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (neg.f64 (/.f64 #s(literal 3 binary64) x)))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -9 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (neg.f64 x) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) #s(literal -1/3 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) y)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (*.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 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
(pow.f64 (/.f64 (fma.f64 (+.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)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) (*.f64 (+.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)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64) (*.f64 (+.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)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.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)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x)))) |
Compiled 20 414 to 2 037 computations (90% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 055 | 10 | 1 065 |
| Fresh | 10 | 10 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 067 | 26 | 1 093 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) | |
| 54.4% | (*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) | |
| 59.7% | (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| ✓ | 59.8% | (*.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))) |
| 35.6% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) | |
| ▶ | 62.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
| 80.1% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) | |
| 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 55.8% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| 41.1% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| ✓ | 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
| ▶ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
| 75.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(literal 1/3 binary64) x))))) | |
| 62.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) | |
| 59.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 89.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64))))) | |
| 35.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 57.9% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) | |
| ✓ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ▶ | 2.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
| ▶ | 36.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
| ▶ | 23.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
Compiled 614 to 398 computations (35.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) | |
| cost-diff | 0 | #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) | |
| cost-diff | 0 | #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) | |
| cost-diff | 192 | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
| 5 152× | lower-fma.f32 |
| 5 148× | lower-fma.f64 |
| 2 496× | lower-*.f32 |
| 2 476× | lower-*.f64 |
| 1 114× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 514 |
| 0 | 76 | 497 |
| 1 | 127 | 475 |
| 2 | 199 | 475 |
| 3 | 307 | 475 |
| 4 | 435 | 475 |
| 5 | 546 | 475 |
| 6 | 1003 | 475 |
| 7 | 1965 | 475 |
| 8 | 3093 | 475 |
| 9 | 4203 | 475 |
| 10 | 4723 | 475 |
| 11 | 5038 | 475 |
| 12 | 5226 | 475 |
| 13 | 5393 | 475 |
| 14 | 6015 | 475 |
| 15 | 6233 | 475 |
| 16 | 6497 | 471 |
| 17 | 7243 | 471 |
| 18 | 7424 | 471 |
| 19 | 7506 | 471 |
| 20 | 7712 | 471 |
| 21 | 7912 | 471 |
| 22 | 7968 | 471 |
| 0 | 8002 | 451 |
| 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
#s(literal 3 binary64) |
y |
#s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
y |
#s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
#s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
(sqrt.f64 x) |
x |
(fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
(fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(literal 3 binary64) |
y |
#s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
#s(approx (+ -3 (/ 3 (* x 9))) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
#s(literal -3 binary64) |
#s(literal 1/3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
y |
#s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) |
(+.f64 y #s(literal -1 binary64)) |
y |
#s(literal -1 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) |
#s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -3 binary64) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
x |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) y) |
#s(literal 3 binary64) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.360038769536884 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) | |
| accuracy | 9.93375576750278 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) | |
| accuracy | 37.40070838619243 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) | |
| accuracy | 0.265625 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) | |
| accuracy | 9.93375576750278 | (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) | |
| accuracy | 23.935242314834127 | #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) | |
| accuracy | 33.03764385896858 | #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.21875 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 24.032676542151947 | #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) | |
| accuracy | 0.2265625 | (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) | |
| accuracy | 0.27734375 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| accuracy | 37.58392933129944 | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) | |
| accuracy | 62.96439453830102 | #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) | |
| accuracy | 0.01171875 | (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) | |
| accuracy | 0.265625 | (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.30859375 | (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
| 60.0ms | 212× | 0 | valid |
| 14.0ms | 28× | 1 | valid |
| 10.0ms | 16× | 2 | valid |
Compiled 308 to 43 computations (86% saved)
ival-mult: 25.0ms (41.8% of total)ival-div: 10.0ms (16.7% of total)ival-add: 9.0ms (15% of total)ival-sqrt: 6.0ms (10% of total)const: 4.0ms (6.7% of total)adjust: 3.0ms (5% of total)ival-sub: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) (patch (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (patch (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (patch #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.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 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (patch (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #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 #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) (patch #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (patch (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (patch #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (patch #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) (patch #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) (patch (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) (patch #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (patch (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1/3 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1/3 (* -3 x)) x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt -3 (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ 1 x)) 3) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) (patch (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | (* (sqrt x) -3) |
| 8.0ms | y | @ | -inf | (- (+ y (/ 1 (* x 9))) 1) |
| 1.0ms | y | @ | 0 | (* (sqrt (/ 1 x)) (* 3 y)) |
| 0.0ms | y | @ | inf | (* (sqrt (/ 1 x)) (* 3 y)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x -3) 1/3) x) |
| 1× | egg-herbie |
| 14 136× | lower-fma.f64 |
| 14 136× | lower-fma.f32 |
| 5 022× | lower-*.f64 |
| 5 022× | lower-*.f32 |
| 2 076× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 5398 |
| 1 | 525 | 5034 |
| 2 | 1719 | 5010 |
| 3 | 3658 | 4996 |
| 0 | 8387 | 4607 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/3 x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/ (+ 1/3 (* -3 x)) x) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
-3 |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(- (* 1/3 (/ 1 x)) 3) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* y (+ (* 3 (sqrt x)) (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (* (sqrt x) (/ (- (* 1/3 (/ 1 x)) 3) y)))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* 3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* -3 (* (sqrt x) y)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(- (* 1/9 (/ 1 x)) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
y |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
(* y (- (+ 1 (/ 1/9 (* x y))) (/ 1 y))) |
y |
(* -1 (* y (- (* -1 (/ (- (* 1/9 (/ 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))) |
(/ 1/9 x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(/ (+ 1/9 (* x (- y 1))) x) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- y 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(- (+ y (* 1/9 (/ 1 x))) 1) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -3 (sqrt (/ 1 x))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) y))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (* 3 (sqrt (/ 1 x))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* 3 (* (sqrt (/ 1 x)) (/ 1 y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(* 1/3 (sqrt (/ 1 x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) |
(* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(+ (* 3 (* (sqrt x) y)) (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))))) |
(* 3 (* (sqrt x) y)) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* y (+ (* 3 (sqrt x)) (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))) |
(* 3 (* (sqrt x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
1/3 |
(+ 1/3 (* -3 x)) |
(+ 1/3 (* -3 x)) |
(+ 1/3 (* -3 x)) |
(* -3 x) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(- (* 1/3 (/ 1 x)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(* 3 y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(* 3 y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(/ 1/3 x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (* 3 y) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (sqrt (/ 1 x))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* -3 x)) x) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
-3 |
#s(literal -3 binary64) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* 3 (* (sqrt (pow x 3)) (- y 1)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #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 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* 3 (* (sqrt x) (- y 1))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) (- y 1))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -3 (* (sqrt x) (* (pow (sqrt -1) 2) (- y 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- y 1))))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1))) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* 3 (* (sqrt x) (- (* 1/9 (/ 1 x)) 1)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* y (+ (* 3 (sqrt x)) (* 3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(* 3 (* (sqrt x) y)) |
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y)) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -3 (* (sqrt x) (/ (- (* 1/9 (/ 1 x)) 1) y)))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.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 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x) |
(* (sqrt x) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* x (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* -1 (* x (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(* (sqrt x) (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) (sqrt.f64 x)) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x))) |
(+ (* 3 (* (sqrt x) y)) (* (sqrt x) (- (* 1/3 (/ 1 x)) 3))) |
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(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* -1 (* y (+ (* -3 (sqrt x)) (* -1 (/ (* x (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3)))))) y))))) |
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
(* 1/3 (sqrt (/ 1 (pow x 3)))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(/ (+ (* 1/3 (sqrt x)) (* (sqrt (pow x 3)) (- (* 3 y) 3))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* (sqrt (/ 1 x)) (- (* 3 y) 3)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (- (* 3 y) 3))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -1/3 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- (* 3 y) 3)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(+ (* -3 (sqrt (/ 1 x))) (+ (* 1/3 (sqrt (/ 1 (pow x 3)))) (* 3 (* (sqrt (/ 1 x)) y)))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* y (+ (* -3 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (* 3 (sqrt (/ 1 x)))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* -1 (* y (+ (* -3 (sqrt (/ 1 x))) (* -1 (/ (+ (* -3 (sqrt (/ 1 x))) (* 1/3 (sqrt (/ 1 (pow x 3))))) y))))) |
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(* 3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* x (- (* 1/3 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* x (- 3 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(- (* 1/3 (/ 1 x)) 3) |
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 1/3 (/ 1 x)) (* 3 y)) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* y (- (+ 3 (/ 1/3 (* x y))) (* 3 (/ 1 y)))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- (* 1/3 (/ 1 x)) 3) y)) 3))) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(/ (+ 1/3 (* x (- (* 3 y) 3))) x) |
(/.f64 (fma.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) #s(literal 1/3 binary64)) x) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (* 3 y) 3) |
(fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(- (+ (* 3 y) (* 1/3 (/ 1 x))) 3) |
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/3 binary64) x)) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (sqrt (/ 1 x))) |
(*.f64 #s(literal -3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 4 488× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 4 196× | lower-fma.f32 |
| 4 192× | lower-fma.f64 |
| 4 094× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 461 |
| 0 | 76 | 445 |
| 1 | 264 | 362 |
| 2 | 1772 | 362 |
| 0 | 8218 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
(*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(sqrt.f64 x) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) |
#s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))) x) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) x)) |
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64))) (neg.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)))) |
(pow.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 1/27 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1/9 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(+.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(fma.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(fma.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(fma.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x)))) (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27 binary64)))) (fma.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (-.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (*.f64 #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) (-.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x)))) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
Compiled 13 870 to 1 081 computations (92.2% saved)
28 alts after pruning (17 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 7 | 833 |
| Fresh | 5 | 10 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 831 | 28 | 859 |
| Status | Accuracy | Program |
|---|---|---|
| 62.3% | (fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) | |
| 62.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) | |
| 54.4% | (*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) | |
| 59.7% | (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))) | |
| ✓ | 59.8% | (*.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))) |
| 35.6% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) | |
| ✓ | 62.3% | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
| 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) | |
| 55.8% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) | |
| 41.1% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) | |
| 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| ✓ | 35.7% | #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
| 59.9% | #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))) | |
| ✓ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
| ✓ | 99.5% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
| ✓ | 99.4% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
| 75.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(approx (+ (* x -3) 1/3) #s(literal 1/3 binary64)) x))))) | |
| 62.3% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) | |
| 89.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64))))) | |
| 35.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) | |
| 23.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) | |
| ✓ | 41.1% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| ✓ | 2.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
| 36.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) | |
| ✓ | 36.8% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
| ✓ | 23.6% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
| 2.0% | #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
Compiled 1 061 to 392 computations (63.1% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(approx (+ (* x -3) 1/3) #s(literal 1/3 binary64)) 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 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) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 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 (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) #s(literal 1 binary64))) |
(*.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))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)))) |
(fma.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y)) #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/3 binary64) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 #s(literal -1/9 binary64) x)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (-.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) y (/.f64 #s(literal 1/3 binary64) x)))))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) y) #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
3 calls:
| 19.0ms | x |
| 18.0ms | y |
| 17.0ms | (*.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 |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(approx (+ (* x -3) 1/3) #s(literal 1/3 binary64)) 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 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) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 #s(approx (+ y (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (fma.f64 y (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
3 calls:
| 13.0ms | y |
| 13.0ms | x |
| 13.0ms | (*.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 |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(approx (+ (* x -3) 1/3) #s(literal 1/3 binary64)) 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 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y))))) |
(fma.f64 (sqrt.f64 x) #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(approx (* 3 (+ (/ 1/9 x) y)) (*.f64 #s(literal 3 binary64) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 (fma.f64 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 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1/3 binary64)) x))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x))))) |
3 calls:
| 38.0ms | x |
| 14.0ms | (*.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))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -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) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(literal 1/3 binary64) x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) (/.f64 #s(approx (+ (* x -3) 1/3) #s(literal 1/3 binary64)) 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 |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.f64 #s(literal 1/3 binary64) x))))) |
3 calls:
| 29.0ms | y |
| 9.0ms | x |
| 8.0ms | (*.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 |
|---|---|---|
| 96.8% | 2 | x |
| 98.7% | 3 | y |
| 99.2% | 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 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#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 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 x #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)) (sqrt.f64 x))) x)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
3 calls:
| 9.0ms | 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))) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 2 | x |
| 88.6% | 3 | y |
| 92.0% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(approx (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3))) #s(approx (* (sqrt (/ 1 x)) (+ (* 3 y) -3)) (/.f64 #s(literal -3 binary64) (sqrt.f64 x)))) x)) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) #s(approx (+ (* 3 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 (+ (* 3 y) (+ -3 (/ 3 (* x 9)))) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
1 calls:
| 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 |
|---|---|---|
| 89.7% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
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 |
|---|---|---|
| 89.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 3 (* x 9))) #s(approx (/ (+ (* x -3) 1/3) x) #s(literal -3 binary64)))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
3 calls:
| 7.0ms | y |
| 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))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 1 | y |
| 62.3% | 1 | x |
| 62.3% | 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 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* x (+ (* 1/3 (sqrt (/ 1 (* x (* x x))))) (* (sqrt (/ 1 x)) (+ (* 3 y) -3)))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -3 binary64) y #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 1 | x |
| 41.1% | 1 | y |
| 41.1% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (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 | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.1% | 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))) |
| 41.1% | 1 | x |
| 41.1% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y #s(approx (* (/ 1 (sqrt (/ 1 x))) 3) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
3 calls:
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.0% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
| 2.0% | 1 | x |
| 2.0% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 36796076.509776175 | 115468409.26787105 |
| 0.0ms | -4.5091054195835235e+28 | -3.8497812842194555e+26 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7050763370935505e+152 | 3.928167836553595e+153 |
| 0.0ms | -4.5091054195835235e+28 | -3.8497812842194555e+26 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7050763370935505e+152 | 3.928167836553595e+153 |
| 0.0ms | -1.2872014291098774 | 15.886325698800608 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7050763370935505e+152 | 3.928167836553595e+153 |
| 0.0ms | -1.2872014291098774 | 15.886325698800608 |
Compiled 19 to 17 computations (10.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7050763370935505e+152 | 3.928167836553595e+153 |
| 0.0ms | -1.2872014291098774 | 15.886325698800608 |
Compiled 19 to 17 computations (10.5% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 662 |
| 1 | 118 | 662 |
| 2 | 121 | 662 |
| 3 | 126 | 662 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.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 -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
| Outputs |
|---|
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 9 binary64))))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y (+.f64 #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 -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 50000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.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 -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 50000000 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(approx (+ -3 (/ 1/3 x)) (/.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 -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -39999999999999998332478947328 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (+.f64 #s(literal -3 binary64) (/.f64 #s(literal 1/3 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))) |
(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 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))) |
(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 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(approx (- (+ y (/ 1 (* x 9))) 1) (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))) |
(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 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) (if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (+.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (+ (* (sqrt x) -3) (* (sqrt x) (* 3 (+ (/ 1/9 x) y)))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 3 binary64) y #s(literal -3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 x))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) (*.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) y)))) |
#s(approx (* (* 3 (sqrt x)) (- (+ y (/ 1 (* x 9))) 1)) #s(approx (* y (* (/ 1 (sqrt (/ 1 x))) 3)) (*.f64 #s(literal -3 binary64) (*.f64 y (sqrt.f64 x))))) |
| 14 136× | lower-fma.f64 |
| 14 136× | lower-fma.f32 |
| 13 838× | lower-fma.f64 |
| 13 838× | lower-fma.f32 |
| 12 222× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 297 |
| 0 | 74 | 274 |
| 1 | 274 | 225 |
| 2 | 2160 | 225 |
| 0 | 8621 | 222 |
| 0 | 12 | 32 |
| 0 | 19 | 32 |
| 1 | 66 | 26 |
| 2 | 521 | 26 |
| 3 | 6476 | 26 |
| 0 | 8295 | 25 |
| 0 | 44 | 266 |
| 0 | 72 | 253 |
| 1 | 280 | 223 |
| 2 | 2314 | 219 |
| 0 | 8159 | 217 |
| 0 | 182 | 5398 |
| 1 | 525 | 5034 |
| 2 | 1719 | 5010 |
| 3 | 3658 | 4996 |
| 0 | 8387 | 4607 |
| 0 | 193 | 4328 |
| 1 | 586 | 4024 |
| 2 | 2011 | 3991 |
| 3 | 4187 | 3981 |
| 0 | 8430 | 3672 |
| 0 | 72 | 570 |
| 1 | 195 | 543 |
| 2 | 610 | 543 |
| 3 | 2210 | 541 |
| 4 | 6078 | 541 |
| 0 | 8442 | 509 |
| 0 | 230 | 4806 |
| 1 | 700 | 4571 |
| 2 | 2325 | 4529 |
| 3 | 4909 | 4529 |
| 0 | 8386 | 4216 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 819 to 378 computations (53.8% saved)
Compiled 788 to 164 computations (79.2% saved)
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