
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 602.0ms | 8 256× | 0 | valid |
ival-mult: 280.0ms (79.1% of total)ival-add: 60.0ms (17% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 0 | - | 0 | - | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x x) (*.f64 x y)) | nan-rescue | 11 | 0 |
| ↳ | (*.f64 x x) | overflow | 65 | |
| ↳ | (*.f64 x y) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 0 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 0 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 63 to 25 computations (60.3% saved)
ival-mult: 10.0ms (77.5% of total)ival-add: 2.0ms (15.5% 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 |
| 254× | unsub-neg |
| 206× | associate-*r* |
| 196× | distribute-lft-in |
| 192× | associate-*l* |
| 188× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 71 | 35 |
| 2 | 220 | 35 |
| 3 | 638 | 35 |
| 4 | 1000 | 35 |
| 5 | 1219 | 35 |
| 6 | 1600 | 35 |
| 7 | 1620 | 35 |
| 8 | 1620 | 35 |
| 0 | 7 | 9 |
| 0 | 11 | 7 |
| 1 | 22 | 7 |
| 2 | 40 | 7 |
| 3 | 63 | 7 |
| 4 | 63 | 7 |
| 0 | 63 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.7% | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) | |
| cost-diff | 320 | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 54× | lower-*.f32 |
| 48× | lower-*.f64 |
| 34× | lower-fma.f64 |
| 34× | lower-fma.f32 |
| 30× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 11 | 21 |
| 1 | 22 | 21 |
| 2 | 40 | 21 |
| 3 | 63 | 21 |
| 4 | 63 | 21 |
| 0 | 63 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
#s(literal 2 binary64) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(*.f64 x x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
#s(literal 2 binary64) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(*.f64 (+.f64 y x) x) |
(*.f64 x x) |
x |
(*.f64 x y) |
(*.f64 y x) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) | |
| accuracy | 2.292964621660412 | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-mult: 5.0ms (80.6% of total)ival-add: 1.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 2 x) (* 2 y))) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x 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>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x x) (*.f64 x y)) (patch (+.f64 (*.f64 x x) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) (patch (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1.0ms | x | @ | 0 | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1.0ms | y | @ | 0 | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1× | egg-herbie |
| 4 618× | lower-fma.f64 |
| 4 618× | lower-fma.f32 |
| 3 418× | lower-*.f64 |
| 3 418× | lower-*.f32 |
| 1 342× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 372 |
| 1 | 134 | 372 |
| 2 | 345 | 372 |
| 3 | 758 | 372 |
| 4 | 1650 | 372 |
| 5 | 3590 | 372 |
| 6 | 5835 | 372 |
| 7 | 7071 | 372 |
| 0 | 8068 | 372 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* 2 (pow x 2)) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* 2 (* x y)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(* 2 (* x y)) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 9 330× | lower-fma.f64 |
| 9 330× | lower-fma.f32 |
| 4 536× | lower-/.f64 |
| 4 536× | lower-/.f32 |
| 3 968× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 18 |
| 1 | 36 | 18 |
| 2 | 252 | 18 |
| 3 | 2284 | 18 |
| 0 | 8636 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 x y)) |
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 x x) |
(*.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y x) x) (+.f64 y x) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 y x) x) (-.f64 y x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) x) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) x) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x))) |
(*.f64 (*.f64 (+.f64 y x) x) (*.f64 (*.f64 (-.f64 x y) x) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) |
(*.f64 x (+.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 y x))))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 (*.f64 y y) (-.f64 x y)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
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(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) x)) |
(*.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 2 binary64) x))) |
(*.f64 x (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) y))) |
(*.f64 x (*.f64 (+.f64 y x) #s(literal 2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 x (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (-.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 y x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (*.f64 (neg.f64 x) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x y) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y x)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) x) (-.f64 y x) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 y x))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) y (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 #s(literal 2 binary64) (*.f64 y x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y x))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 y x))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 x y)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 y x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (log.f64 x))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) x) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) x) |
(*.f64 y x) |
(*.f64 x (exp.f64 (log.f64 y))) |
(*.f64 x (pow.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 y x))) |
Compiled 7 799 to 931 computations (88.1% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 4 | 353 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 350 | 4 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
| ▶ | 99.2% | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
| ▶ | 54.3% | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
| ▶ | 59.8% | #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 27 to 24 computations (11.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) | |
| cost-diff | 192 | (fma.f64 y x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x x) (* x y)) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 58× | lower-*.f32 |
| 44× | lower-*.f64 |
| 34× | lower-fma.f32 |
| 32× | lower-fma.f64 |
| 22× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 91 |
| 0 | 27 | 83 |
| 1 | 54 | 83 |
| 2 | 71 | 83 |
| 3 | 77 | 83 |
| 0 | 77 | 83 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
#s(literal 2 binary64) |
#s(approx (+ (* x x) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
#s(literal 2 binary64) |
(fma.f64 y x (*.f64 x x)) |
y |
x |
(*.f64 x x) |
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 y x) |
y |
x |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
(*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ (* x x) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
#s(literal 2 binary64) |
(fma.f64 y x (*.f64 x x)) |
(*.f64 (+.f64 y x) x) |
y |
x |
(*.f64 x x) |
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+.f64 y x) |
y |
x |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) | |
| accuracy | 0.49999449521112044 | (fma.f64 y x (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.015625 | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) | |
| accuracy | 29.22655602523789 | #s(approx (+ (* x x) (* x y)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 (*.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 25.71581464086289 | #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 38.0ms | 256× | 0 | valid |
Compiled 81 to 16 computations (80.2% saved)
ival-mult: 15.0ms (79.2% of total)ival-add: 3.0ms (15.8% 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 #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (* 2 (pow x 2))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (pow x 2) y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) (taylor inf y) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) (taylor -inf y) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (patch #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (patch (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) (* x y)) (*.f64 y x)) (patch #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 x x)) (patch (fma.f64 y x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) (patch (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 2 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) (patch (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x)) |
| 1.0ms | x | @ | inf | ((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x)) |
| 1.0ms | x | @ | 0 | ((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x)) |
| 1.0ms | y | @ | -inf | ((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x)) |
| 1.0ms | y | @ | inf | ((* 2 (+ (* x x) (* x y))) (* (* 2 x) x) (* 2 x) (* 2 (+ (* x x) (* x y))) (+ (* x x) (* x y)) (* y x) (+ (* y x) (* x x)) (* 2 (+ (* y x) (* x x))) (* x x) (* (+ y x) (* 2 x)) (+ y x)) |
| 1× | egg-herbie |
| 5 816× | lower-fma.f64 |
| 5 816× | lower-fma.f32 |
| 5 794× | lower-*.f64 |
| 5 794× | lower-*.f32 |
| 1 394× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 1104 |
| 1 | 178 | 1104 |
| 2 | 440 | 1104 |
| 3 | 1223 | 1104 |
| 4 | 2327 | 1104 |
| 5 | 3877 | 1104 |
| 6 | 5563 | 1104 |
| 7 | 6619 | 1104 |
| 0 | 8036 | 1104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (pow x 2)) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(* 2 (pow x 2)) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(* 2 (pow x 2)) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(* 2 (pow x 2)) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* 2 (* x y)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* 2 (* x y)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* 2 (* x y)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* 2 (* x y)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* 2 (* x y)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* 2 (* x y)) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (* x y)) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
(* 2 (* x y)) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 (* x y)) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
(* x (+ (* 2 x) (* 2 y))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(+ (* 2 (* x y)) (* 2 (pow x 2))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* y (+ (* 2 x) (* 2 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* -1 (* y (+ (* -2 x) (* -2 (/ (pow x 2) y))))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* x (+ x y)) |
(*.f64 (+.f64 y x) x) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* 2 (* x y)) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* x (+ (* 2 x) (* 2 y))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 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) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
(* (pow x 2) (+ 2 (* 2 (/ y x)))) |
(*.f64 (*.f64 (+.f64 y x) #s(literal 2 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 8 378× | lower-fma.f32 |
| 8 376× | lower-fma.f64 |
| 5 486× | lower-*.f32 |
| 5 472× | lower-*.f64 |
| 2 198× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 27 | 69 |
| 1 | 93 | 69 |
| 2 | 505 | 69 |
| 3 | 4905 | 69 |
| 0 | 8649 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
#s(approx (+ (* x x) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 y x (*.f64 x x)) |
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 y x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
#s(approx (+ (* x x) (* x y)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 y x) x)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 y x) x)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 y x) x))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) x (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) y (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) x (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fma.f64 y (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 x (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(fma.f64 x (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 y x) x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 y x) x)))) |
(+.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 x y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) y) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x))))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 12 180 to 1 137 computations (90.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 0 | 708 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 708 | 4 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
| ✓ | 99.2% | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
| ✓ | 54.3% | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
| ✓ | 59.8% | #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
Compiled 63 to 41 computations (34.9% saved)
| Inputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
4 calls:
| 2.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 x y)) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | x |
| 84.5% | 3 | y |
| 83.3% | 2 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 83.3% | 2 | (+.f64 (*.f64 x x) (*.f64 x y)) |
Compiled 18 to 16 computations (11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
4 calls:
| 6.0ms | x |
| 1.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 1.0ms | y |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | x |
| 59.8% | 1 | y |
| 59.8% | 1 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 59.8% | 1 | (+.f64 (*.f64 x x) (*.f64 x y)) |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0134924515645912e-54 | 1.162116715763321e-54 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
| 10× | *-commutative-binary64-*.f64 |
| 4× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 60 |
| 1 | 28 | 60 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(if (<=.f64 (+.f64 (*.f64 x x) (*.f64 x y)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 x y)) |
(if (<=.f64 (+.f64 (*.f64 x x) (*.f64 x y)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
(if (<=.f64 (+.f64 (*.f64 x y) (*.f64 x x)) #s(literal 1897980245367405/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) |
#s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 9 330× | lower-fma.f64 |
| 9 330× | lower-fma.f32 |
| 4 618× | lower-fma.f64 |
| 4 618× | lower-fma.f32 |
| 4 536× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 18 |
| 1 | 36 | 18 |
| 2 | 252 | 18 |
| 3 | 2284 | 18 |
| 0 | 8636 | 18 |
| 0 | 40 | 372 |
| 1 | 134 | 372 |
| 2 | 345 | 372 |
| 3 | 758 | 372 |
| 4 | 1650 | 372 |
| 5 | 3590 | 372 |
| 6 | 5835 | 372 |
| 7 | 7071 | 372 |
| 0 | 8068 | 372 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 66 to 41 computations (37.9% saved)
Compiled 102 to 58 computations (43.1% saved)
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