
Time bar (total: 7.8s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 691.0ms | 8 256× | 0 | valid |
ival-sub: 179.0ms (37% of total)ival-mult: 159.0ms (32.9% of total)ival-div: 129.0ms (26.7% of total)exact: 8.0ms (1.7% of total)ival-true: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | o/n | 20 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 20 | 0 |
| - | 0 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 20 | 0 | 0 |
| - | 0 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 108 to 54 computations (50% saved)
ival-mult: 6.0ms (40.7% of total)ival-sub: 5.0ms (33.9% of total)ival-div: 3.0ms (20.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 76 | 55 |
| 2 | 327 | 55 |
| 3 | 1499 | 55 |
| 4 | 6381 | 55 |
| 0 | 9 | 11 |
| 0 | 14 | 11 |
| 1 | 28 | 11 |
| 2 | 72 | 11 |
| 3 | 171 | 11 |
| 4 | 530 | 11 |
| 5 | 2133 | 11 |
| 6 | 6375 | 11 |
| 0 | 8030 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64))) |
(negabs y)
Compiled 11 to 9 computations (18.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 8 876× | lower-fma.f64 |
| 8 876× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 546× | lower-*.f64 |
| 1 814× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 0 | 14 | 31 |
| 1 | 28 | 31 |
| 2 | 72 | 31 |
| 3 | 171 | 31 |
| 4 | 530 | 31 |
| 5 | 2133 | 31 |
| 6 | 6375 | 31 |
| 0 | 8030 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) | |
| accuracy | 4.883610834877125 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 33 to 11 computations (66.7% saved)
ival-mult: 3.0ms (42.8% of total)ival-sub: 2.0ms (28.5% of total)ival-div: 2.0ms (28.5% 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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -4 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4/3 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | y | @ | -inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1.0ms | x | @ | -inf | ((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3)) |
| 1× | egg-herbie |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 3 164× | lower-*.f64 |
| 3 164× | lower-*.f32 |
| 2 266× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
(* 3 y) |
(*.f64 y #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -4 x)) |
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- x 4))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
| 4 254× | lower-*.f32 |
| 4 250× | lower-*.f64 |
| 4 002× | lower-/.f32 |
| 4 000× | lower-/.f64 |
| 1 836× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 3 binary64) x) |
(*.f64 y #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) x #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 (+.f64 #s(literal 3 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) x) (fma.f64 x x #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 729 binary64)))) |
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)))) |
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) |
(/.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) x)) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -3 binary64) x)))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (neg.f64 x) x #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 (/.f64 #s(literal 27 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 9 binary64)) #s(literal 81 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 3 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal 9 binary64) (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(fma.f64 #s(literal 27 binary64) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 3 binary64) x))))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 9 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(literal -3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y))) |
(*.f64 #s(literal 3 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(neg.f64 (*.f64 #s(literal -3 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) y)) |
Compiled 16 679 to 2 125 computations (87.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 13 | 815 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 803 | 13 | 816 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| ▶ | 92.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
| 57.8% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) | |
| ▶ | 43.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| 52.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| 99.6% | (*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/3 binary64) y))) | |
| 99.6% | (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) | |
| 99.6% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| ▶ | 52.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 99.5% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) | |
| 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 244 to 222 computations (9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) | |
| cost-diff | 128 | (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (-.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 3 binary64) x) | |
| cost-diff | 128 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 10 220× | lower-fma.f64 |
| 10 220× | lower-fma.f32 |
| 2 700× | lower-*.f32 |
| 2 688× | lower-*.f64 |
| 1 804× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 171 |
| 0 | 43 | 171 |
| 1 | 80 | 171 |
| 2 | 170 | 171 |
| 3 | 428 | 171 |
| 4 | 1405 | 171 |
| 5 | 5598 | 171 |
| 0 | 8136 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) (-.f64 x #s(literal 3 binary64))) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 4.717263325108682 | (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 x #s(literal 4 binary64)) x) | |
| accuracy | 4.883610834877125 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.5820736860402 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 4.883610834877125 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 31.67678185781924 | #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 30.520503870010145 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| accuracy | 0.1953125 | (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| 39.0ms | 239× | 0 | valid |
| 6.0ms | 10× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
Compiled 149 to 23 computations (84.6% saved)
ival-mult: 13.0ms (42.2% of total)ival-div: 8.0ms (26% of total)ival-sub: 5.0ms (16.2% of total)const: 3.0ms (9.7% of total)adjust: 1.0ms (3.2% 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 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 #s(literal 3 binary64) x) (-.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>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (/ y (- 1 x))) (taylor inf y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor inf y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor inf y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 x)) (taylor inf y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* 1/3 (* (- 3 x) (- 1 x))) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* (- 3 x) (- 1 x)) (- 1 x)) |
| 2.0ms | y | @ | -inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* 1/3 (* (- 3 x) (- 1 x))) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* (- 3 x) (- 1 x)) (- 1 x)) |
| 2.0ms | y | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* 1/3 (* (- 3 x) (- 1 x))) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* (- 3 x) (- 1 x)) (- 1 x)) |
| 2.0ms | y | @ | 0 | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* 1/3 (* (- 3 x) (- 1 x))) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* (- 3 x) (- 1 x)) (- 1 x)) |
| 1.0ms | x | @ | inf | ((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* 1/3 (* (- 3 x) (- 1 x))) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* (- 3 x) (- 1 x)) (- 1 x)) |
| 1× | egg-herbie |
| 11 542× | lower-fma.f64 |
| 11 542× | lower-fma.f32 |
| 4 460× | lower-*.f64 |
| 4 460× | lower-*.f32 |
| 1 988× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 2565 |
| 1 | 510 | 2546 |
| 2 | 1342 | 2452 |
| 3 | 4194 | 2412 |
| 0 | 8248 | 2347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(* 3 (/ y (- 1 x))) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(/ y (- 1 x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 3 y) |
(+ (* 3 y) (* 3 (* x y))) |
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))) |
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y))))))) |
3 |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
(+ 3 (* -1 x)) |
y |
(+ y (* x y)) |
(+ y (* x (- (* x y) (* -1 y)))) |
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y)))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(* -4 x) |
(* x (- x 4)) |
(* x (- x 4)) |
(* x (- x 4)) |
-4 |
(- x 4) |
(- x 4) |
(- x 4) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -3 (/ y x)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1 (/ y x))) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* x (- 1 (* 4 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -3 (/ y x)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(* -1 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (/ y x)) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(* 3 (/ y (- 1 x))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(/ y (- 1 x)) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
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(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* -3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -3 binary64)) |
(/ (+ (* -3 y) (* -3 (/ y x))) x) |
(*.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 y x) y)) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x) |
(*.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 y x) y) x) y)) |
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x) |
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 (/.f64 (/.f64 y x) x) y)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ (* -1 y) (* -1 (/ y x))) x) |
(/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) y) x) |
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x) |
(/.f64 (*.f64 (+.f64 (/.f64 y x) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
x |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* x (- 1 (* 4 (/ 1 x)))) |
(-.f64 x #s(literal 4 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) x) x) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* -3 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -3 binary64)) |
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x)) |
(*.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 y x) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x)) |
(*.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 y x) y) x) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3 binary64) x)) (+.f64 (/.f64 (/.f64 y x) x) y)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (+ y (/ y x)) x)) |
(/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 y) x) y) x) y) x) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x)) |
(/.f64 (*.f64 (+.f64 (/.f64 y x) y) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
x |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* -1 (* x (- (* 4 (/ 1 x)) 1))) |
(-.f64 x #s(literal 4 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) x) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) x #s(literal -4 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
| 5 472× | lower-*.f32 |
| 5 460× | lower-*.f64 |
| 5 226× | lower-/.f32 |
| 5 214× | lower-/.f64 |
| 3 940× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 0 | 43 | 144 |
| 1 | 159 | 144 |
| 2 | 966 | 144 |
| 0 | 9021 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(-.f64 #s(literal 3 binary64) x) |
(/.f64 y (-.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(-.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 x #s(literal 3 binary64)) y)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) x))) (neg.f64 (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 3 binary64) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 3 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/3 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 x #s(literal 3 binary64)) y)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -9 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (+.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) (fma.f64 (/.f64 x y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (-.f64 x #s(literal 1 binary64))) #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal 3 binary64) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)))) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (-.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) |
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(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal -3 binary64) x))) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 x) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(fma.f64 x (-.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) x)) |
(fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 3 binary64) x))) |
(+.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64))) |
(+.f64 (*.f64 x (-.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x)) |
(+.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 45 591 to 4 356 computations (90.4% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 426 | 8 | 2 434 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 432 | 15 | 2 447 |
| Status | Accuracy | Program |
|---|---|---|
| 50.5% | (/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) | |
| 43.4% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| ✓ | 43.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 52.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| 92.6% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) | |
| 58.0% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) | |
| ▶ | 43.4% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
| ▶ | 99.8% | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 99.6% | (*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) | |
| 99.6% | (*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) | |
| 50.6% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| ✓ | 52.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ▶ | 50.6% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
Compiled 238 to 215 computations (9.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| cost-diff | -384 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 y #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 14 006× | lower-fma.f32 |
| 14 002× | lower-fma.f64 |
| 3 100× | lower-*.f32 |
| 3 086× | lower-*.f64 |
| 1 584× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 172 |
| 0 | 47 | 172 |
| 1 | 91 | 172 |
| 2 | 199 | 170 |
| 3 | 459 | 168 |
| 4 | 1308 | 168 |
| 5 | 5289 | 168 |
| 0 | 8173 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
#s(literal -1/3 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
y |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) y) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 y #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) y) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
x |
#s(literal 1/3 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(/.f64 x y) |
x |
y |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.140625 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) | |
| accuracy | 31.411472232853388 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) | |
| accuracy | 0.109375 | (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) | |
| accuracy | 0.2734375 | (*.f64 x #s(literal 1/3 binary64)) | |
| accuracy | 4.717263325108682 | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) | |
| accuracy | 31.673504754007286 | #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) | |
| accuracy | 0.2734375 | (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) | |
| accuracy | 31.479867607072663 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) | |
| accuracy | 0 | (*.f64 y #s(literal 3 binary64)) | |
| accuracy | 4.883610834877125 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) | |
| accuracy | 30.786052749531382 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
| 54.0ms | 256× | 0 | valid |
Compiled 145 to 28 computations (80.7% saved)
ival-mult: 15.0ms (41.7% of total)const: 9.0ms (25% of total)ival-div: 6.0ms (16.7% of total)ival-add: 4.0ms (11.1% of total)ival-sub: 2.0ms (5.6% 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 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (patch #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) (patch #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/3 binary64)) (patch (*.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (- 1 x) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (* (* x 1/3) x) (* x 1/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3)) |
| 4.0ms | y | @ | 0 | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (- 1 x) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (* (* x 1/3) x) (* x 1/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3)) |
| 3.0ms | y | @ | inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (- 1 x) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (* (* x 1/3) x) (* x 1/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3)) |
| 3.0ms | x | @ | inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (- 1 x) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (* (* x 1/3) x) (* x 1/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3)) |
| 3.0ms | x | @ | -inf | ((* (+ (* -1/3 x) 1) (/ (- 1 x) y)) (+ (* -1/3 x) 1) (/ (- 1 x) y) (- 1 x) (* (- 1 x) (- 3 x)) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (* (* x 1/3) x) (* x 1/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3)) |
| 1× | egg-herbie |
| 8 586× | lower-fma.f64 |
| 8 586× | lower-fma.f32 |
| 3 448× | lower-*.f64 |
| 3 448× | lower-*.f32 |
| 1 496× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 2474 |
| 1 | 306 | 2414 |
| 2 | 773 | 2402 |
| 3 | 2144 | 2378 |
| 4 | 6000 | 2378 |
| 0 | 8073 | 2186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(+ 1 (* -1/3 x)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* -1/3 x) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* x (- (/ 1 x) 1/3)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* -1/3 x) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* 1/3 x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
| Outputs |
|---|
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 3 y) |
(*.f64 #s(literal 3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
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(*.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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
-4/3 |
#s(literal -4/3 binary64) |
(- (* 1/3 x) 4/3) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(- (* 1/3 x) 4/3) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(- (* 1/3 x) 4/3) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* x (- (/ 1 x) 1/3)) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) 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 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- 1/3 (/ 1 x)))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) 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 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
| 7 806× | lower-fma.f32 |
| 7 802× | lower-fma.f64 |
| 5 256× | lower-*.f32 |
| 5 242× | lower-*.f64 |
| 3 828× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 153 |
| 0 | 47 | 153 |
| 1 | 166 | 153 |
| 2 | 1212 | 149 |
| 0 | 8795 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
(*.f64 y #s(literal 3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 x y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 y)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -3 binary64) x) (*.f64 #s(literal 3 binary64) y))) |
(*.f64 (/.f64 (+.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) y) (/.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (+.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) y)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal -1/3 binary64)) |
(*.f64 (+.f64 #s(literal -3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y) y))) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 y (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3 binary64) (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (+.f64 #s(literal -3 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) y))) |
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(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) y) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 #s(literal 4/3 binary64) x) (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 #s(literal -4/3 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (*.f64 x #s(literal -4/3 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 #s(literal 4/3 binary64) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x) #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -4/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -4/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 x y) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x y) x) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 (/.f64 x y) #s(literal -4/3 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -4/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 y x)) (/.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) (/.f64 y x))) |
(+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 x y)) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x y)) x) (*.f64 #s(literal -4/3 binary64) (/.f64 x y))) |
(*.f64 (-.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)))) (*.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (fma.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)) #s(literal 16/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)))) |
(/.f64 (-.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64))) (neg.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 16/9 binary64) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/9 binary64) x) #s(literal -4/9 binary64)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64))) (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -16/9 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/27 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) x) x (-.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -4/9 binary64) x)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/3 binary64)) #s(literal -4/3 binary64)) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))))) |
(fma.f64 (neg.f64 x) #s(literal -1/3 binary64) #s(literal -4/3 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64) #s(literal -4/3 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) #s(literal -4/3 binary64)) |
(-.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 4/3 binary64))) (neg.f64 (/.f64 #s(literal -16/9 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -4/3 binary64))))) |
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -4/3 binary64)) |
Compiled 21 284 to 2 768 computations (87% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 362 | 7 | 1 369 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 367 | 17 | 1 384 |
| Status | Accuracy | Program |
|---|---|---|
| 43.4% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| ✓ | 43.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 52.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ▶ | 92.6% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
| 58.0% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) | |
| 43.5% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) | |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ▶ | 52.1% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
| ▶ | 50.6% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 x (/.f64 y (*.f64 #s(literal 1/3 binary64) x)))) | |
| ✓ | 52.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) | |
| ✓ | 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| 9.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) | |
| ▶ | 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
| ▶ | 9.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
Compiled 219 to 203 computations (7.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -4/3 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| cost-diff | 0 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
| 10 222× | lower-fma.f32 |
| 10 218× | lower-fma.f64 |
| 3 046× | lower-*.f32 |
| 3 034× | lower-*.f64 |
| 1 256× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 213 |
| 0 | 52 | 213 |
| 1 | 106 | 213 |
| 2 | 217 | 213 |
| 3 | 460 | 213 |
| 4 | 1334 | 213 |
| 5 | 5564 | 213 |
| 0 | 8087 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
x |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -4/3 binary64) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(*.f64 (/.f64 x y) #s(literal -4/3 binary64)) |
(/.f64 #s(literal -4/3 binary64) y) |
#s(literal -4/3 binary64) |
y |
x |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
y |
#s(literal 1/3 binary64) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(literal 1/3 binary64) |
y |
x |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(literal 1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) | |
| accuracy | 31.479867607072663 | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) | |
| accuracy | 0.34375 | (/.f64 #s(literal 1/3 binary64) y) | |
| accuracy | 31.479867607072663 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) | |
| accuracy | 0.27734375 | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) | |
| accuracy | 4.733857640834444 | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) | |
| accuracy | 30.786052749531382 | #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) | |
| accuracy | 0.34765625 | (/.f64 #s(literal -4/3 binary64) y) | |
| accuracy | 27.203129565651057 | #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) | |
| accuracy | 31.411472232853388 | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) | |
| accuracy | 0 | #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.0625 | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) | |
| accuracy | 0.140625 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) | |
| accuracy | 4.717263325108682 | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
| 63.0ms | 256× | 0 | valid |
Compiled 160 to 34 computations (78.8% saved)
ival-mult: 20.0ms (43.2% of total)ival-div: 13.0ms (28.1% of total)const: 8.0ms (17.3% of total)ival-sub: 2.0ms (4.3% of total)ival-add: 2.0ms (4.3% 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(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (patch #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (patch #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ 1/3 y) x) x) (* (/ 1/3 y) x) (/ 1/3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y)) |
| 3.0ms | x | @ | -inf | ((/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ 1/3 y) x) x) (* (/ 1/3 y) x) (/ 1/3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y)) |
| 3.0ms | y | @ | -inf | ((/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ 1/3 y) x) x) (* (/ 1/3 y) x) (/ 1/3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y)) |
| 2.0ms | x | @ | inf | ((/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ 1/3 y) x) x) (* (/ 1/3 y) x) (/ 1/3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y)) |
| 2.0ms | y | @ | inf | ((/ (* 1/3 (* (- 3 x) (- 1 x))) y) (* 1/3 (* (- 3 x) (- 1 x))) (+ (* (+ (* x 1/3) -4/3) x) 1) (+ (* x 1/3) -4/3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ 1/3 y) x) x) (* (/ 1/3 y) x) (/ 1/3 y) (/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (* (/ x y) x) 1/3) (* (/ x y) x) (/ x y)) |
| 1× | egg-herbie |
| 10 036× | lower-fma.f64 |
| 10 036× | lower-fma.f32 |
| 3 234× | lower-*.f64 |
| 3 234× | lower-*.f32 |
| 1 724× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 2976 |
| 1 | 319 | 2916 |
| 2 | 804 | 2896 |
| 3 | 2343 | 2836 |
| 4 | 6352 | 2836 |
| 0 | 8362 | 2631 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(/ -4/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(/ (* (- 1 x) (- 3 x)) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(/ 1/3 y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
1 |
(+ 1 (* -4/3 x)) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
(+ 1 (* x (- (* 1/3 x) 4/3))) |
-4/3 |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(- (* 1/3 x) 4/3) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* -4/3 (/ x y)) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(/ 3 y) |
(+ (* -4 (/ x y)) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y))) |
3 |
(+ 3 (* -4 x)) |
(+ 3 (* x (- x 4))) |
(+ 3 (* x (- x 4))) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(/ 1 y) |
(+ (* -4/3 (/ x y)) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x)))) |
(* 1/3 x) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* x (- 1/3 (* 4/3 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* -4/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(pow x 2) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ x y)) |
(* 1/3 (/ (pow x 2) y)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(* 1/3 (/ (pow x 2) y)) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(/ -4/3 y) |
(/.f64 #s(literal -4/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* (- 1 x) (- 3 x)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(/ 1/3 y) |
(/.f64 #s(literal 1/3 binary64) y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(* 1/3 (/ (* (- 1 x) (- 3 x)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(/ (* x (- (* 1/3 x) 4/3)) y) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
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(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x)))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* -4/3 (/ x y)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y))))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (* 4 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 4 binary64)) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) |
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(* 1/3 (/ (pow x 2) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 4 578× | lower-/.f32 |
| 4 568× | lower-/.f64 |
| 3 746× | lower-*.f32 |
| 3 734× | lower-*.f64 |
| 3 216× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 196 |
| 0 | 52 | 196 |
| 1 | 200 | 196 |
| 2 | 1304 | 196 |
| 0 | 8341 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x) |
(/.f64 #s(literal -4/3 binary64) y) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) |
#s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(/.f64 #s(literal 1/3 binary64) y) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (neg.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y)) |
(pow.f64 (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) (neg.f64 y)) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (neg.f64 y)))) |
(neg.f64 (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) |
(*.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64)))) |
#s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) |
(neg.f64 (neg.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x #s(literal 1/3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 x (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64))) y)) |
(neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) y)) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/3 binary64) y))) |
(neg.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x) |
(*.f64 (/.f64 x y) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(*.f64 x (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) x)) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 x (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) x) y)) |
(neg.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 y))) |
(neg.f64 (*.f64 x (/.f64 #s(literal -1/3 binary64) y))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x)) |
(*.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x y) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64)))) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x))) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) y) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) |
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) x) y) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -3 binary64) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x #s(literal 1/3 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 x (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 y (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/3 binary64))) y)) |
(neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) y)) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/3 binary64) y))) |
(neg.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) (*.f64 x x))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 x #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 x x) y) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 x (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y))) |
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 8 916 to 1 415 computations (84.1% saved)
18 alts after pruning (7 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 6 | 788 |
| Fresh | 5 | 1 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 787 | 18 | 805 |
| Status | Accuracy | Program |
|---|---|---|
| 43.4% | (/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) | |
| ✓ | 43.5% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 43.4% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 52.1% | (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| ✓ | 92.6% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
| 58.0% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) | |
| 43.5% | (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)) y) | |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | 52.1% | (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
| 50.7% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 x (/.f64 y (*.f64 x #s(literal 1/3 binary64))))) | |
| ✓ | 50.6% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
| 9.8% | #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) | |
| ✓ | 52.3% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) | |
| ✓ | 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
| ✓ | 50.7% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
| 9.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) | |
| ✓ | 9.8% | #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
Compiled 447 to 259 computations (42.1% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 x (/.f64 y (*.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (/.f64 x (/.f64 y (*.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y))) |
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/3 binary64) y))) |
(*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
5 calls:
| 21.0ms | y |
| 16.0ms | (*.f64 y #s(literal 3 binary64)) |
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 10.0ms | x |
| 9.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.8% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.8% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
5 calls:
| 36.0ms | y |
| 29.0ms | (*.f64 y #s(literal 3 binary64)) |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 7.0ms | x |
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.5% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 99.5% | 1 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
5 calls:
| 11.0ms | x |
| 10.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 7.0ms | (*.f64 y #s(literal 3 binary64)) |
| 7.0ms | y |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 94.1% | 2 | y |
| 99.9% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 99.9% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 94.1% | 2 | (*.f64 y #s(literal 3 binary64)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) |
2 calls:
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 6.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 98.9% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) x)) y) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)) |
1 calls:
| 5.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)) |
1 calls:
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 7 to 7 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
5 calls:
| 7.0ms | x |
| 4.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.0% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 58.0% | 1 | y |
| 58.0% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 58.0% | 1 | x |
| 58.0% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
Compiled 23 to 24 computations (-4.3% saved)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64)))) |
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))) |
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64)) |
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 6.0ms | (*.f64 y #s(literal 3 binary64)) |
| 3.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | y |
| 52.3% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 58.4% | 2 | x |
| 57.6% | 2 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 57.6% | 2 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
Compiled 23 to 24 computations (-4.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 1.0ms | (*.f64 y #s(literal 3 binary64)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | y |
| 52.3% | 1 | (*.f64 y #s(literal 3 binary64)) |
| 52.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) |
| 52.3% | 1 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) |
| 52.3% | 1 | x |
Compiled 23 to 24 computations (-4.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1152870182594689e+114 | 5.315776990746939e+116 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0008661910638463 | 137.27233918078528 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0008661910638463 | 137.27233918078528 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0008661910638463 | 137.27233918078528 |
Compiled 14 to 15 computations (-7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -9.758925936529462 | -0.00021653604399705231 |
| 9.0ms | 128× | 0 | valid |
Compiled 102 to 126 computations (-23.5% saved)
ival-mult: 4.0ms (60.3% of total)ival-sub: 1.0ms (15.1% of total)ival-div: 1.0ms (15.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 6× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 293 |
| 1 | 78 | 293 |
| 2 | 83 | 293 |
| 3 | 85 | 293 |
| 4 | 86 | 293 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x))) |
(/.f64 #s(approx (* 1/3 (* (- 3 x) (- 1 x))) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))) y) |
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) |
| 11 542× | lower-fma.f64 |
| 11 542× | lower-fma.f32 |
| 8 634× | lower-fma.f64 |
| 8 634× | lower-fma.f32 |
| 8 586× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 2474 |
| 1 | 306 | 2414 |
| 2 | 773 | 2402 |
| 3 | 2144 | 2378 |
| 4 | 6000 | 2378 |
| 0 | 8073 | 2186 |
| 0 | 179 | 2565 |
| 1 | 510 | 2546 |
| 2 | 1342 | 2452 |
| 3 | 4194 | 2412 |
| 0 | 8248 | 2347 |
| 0 | 9 | 27 |
| 0 | 14 | 27 |
| 1 | 59 | 27 |
| 2 | 433 | 27 |
| 3 | 7340 | 27 |
| 0 | 8063 | 27 |
| 0 | 32 | 153 |
| 0 | 47 | 153 |
| 1 | 166 | 153 |
| 2 | 1212 | 149 |
| 0 | 8795 | 149 |
| 0 | 78 | 446 |
| 1 | 216 | 446 |
| 2 | 543 | 446 |
| 3 | 1551 | 418 |
| 4 | 4034 | 418 |
| 5 | 7654 | 418 |
| 0 | 8499 | 384 |
| 0 | 29 | 144 |
| 0 | 43 | 144 |
| 1 | 159 | 144 |
| 2 | 966 | 144 |
| 0 | 9021 | 140 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 453 to 246 computations (45.7% saved)
(negabs y)
Compiled 514 to 260 computations (49.4% saved)
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