
Time bar (total: 3.5s)
| 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)
| 600.0ms | 8 256× | 0 | valid |
ival-mult: 287.0ms (83.5% of total)ival-add: 42.0ms (12.2% of total)ival-true: 6.0ms (1.7% of total)exact: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 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 | 17 | 0 |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (*.f64 x y) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 17 | 0 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 0 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 239 |
| 1 | 17 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 88 to 32 computations (63.6% saved)
ival-mult: 21.0ms (84% of total)ival-add: 3.0ms (12% 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 |
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 |
|---|---|---|
| ▶ | 93.3% | (*.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)) |
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 | 0.00390625 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) | |
| accuracy | 3.7499855508114406 | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 36.0ms | 256× | 0 | valid |
Compiled 52 to 16 computations (69.2% saved)
ival-mult: 8.0ms (72.5% of total)ival-add: 2.0ms (18.1% 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 2.0ms | y | @ | -inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 2.0ms | 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 | @ | inf | ((+ (* x x) (* x y)) (* 2 (+ (* x x) (* x y))) (* x x) (* x y)) |
| 1× | egg-herbie |
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) |
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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
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)) |
| ▶ | 97.2% | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
| ▶ | 56.0% | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
| ▶ | 59.3% | #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)) |
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 | 0.00390625 | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) | |
| accuracy | 1.7577932332389217 | (fma.f64 y x (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) | |
| accuracy | 28.18231806441965 | #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 | 26.01974439789447 | #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) |
| 89.0ms | 256× | 0 | valid |
Compiled 149 to 30 computations (79.9% saved)
ival-mult: 74.0ms (94.6% of total)ival-add: 4.0ms (5.1% 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 #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>) () ())) ()) |
#s(alt (* -1 (* 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 (* -1 (* 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 (* -1 (* 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 (* -1 (* y (+ (* -1 x) (* -1 (/ (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 (* -1 (* y (+ (* -1 x) (* -1 (/ (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 (* -1 (* y (+ (* -1 x) (* -1 (/ (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 (* -1 (* y (+ (* -1 x) (* -1 (/ (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 (* -1 (* y (+ (* -1 x) (* -1 (/ (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>) () ())) ()) |
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#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 |
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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 77 |
| 0 | 27 | 69 |
| 1 | 93 | 69 |
| 2 | 505 | 69 |
| 3 | 4916 | 69 |
| 0 | 8658 | 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 |
|---|
#<batchref> |
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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)) |
| ✓ | 97.2% | (*.f64 #s(literal 2 binary64) (fma.f64 y x (*.f64 x x))) |
| ✓ | 56.0% | (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
| ✓ | 59.3% | #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 | y |
| 2.0ms | x |
| 2.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 2.0ms | (+.f64 (*.f64 x x) (*.f64 x 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)) |
(*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) |
4 calls:
| 51.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | x |
| 86.2% | 3 | y |
| 81.8% | 2 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 81.8% | 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:
| 7.0ms | x |
| 1.0ms | y |
| 1.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 1.0ms | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 1 | x |
| 59.3% | 1 | (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 x x) (*.f64 x y))) |
| 59.3% | 1 | (+.f64 (*.f64 x x) (*.f64 x y)) |
| 59.3% | 1 | y |
Compiled 18 to 16 computations (11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.559460254521132e-22 | 7.198179684902008e-19 |
| 12.0ms | -2.7972486613174017e-50 | -7.054475751051463e-57 |
| 15.0ms | 272× | 0 | valid |
Compiled 216 to 250 computations (-15.7% saved)
ival-mult: 7.0ms (73.9% of total)ival-add: 1.0ms (10.6% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 71 |
| 1 | 27 | 71 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) x)) |
(if (<=.f64 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #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))))) |
#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 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (+ (* x x) (* x y)) (*.f64 y x))) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #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))))) |
(if (<=.f64 y #s(literal -5792176041770645/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (*.f64 #s(approx (+ (* x x) (* x y)) (*.f64 x y)) #s(literal 2 binary64)) (if (<=.f64 y #s(literal 8772904772180445/664613997892457936451903530140172288 binary64)) #s(approx (* 2 (+ (* x x) (* x y))) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.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)) |
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 70 to 42 computations (40% saved)
Compiled 110 to 60 computations (45.5% saved)
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