Linear.V2:$cdot from linear-1.19.1.3, A
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 473.0ms | 8 256× | 0 | valid |
ival-mult: 189.0ms (78.9% of total)ival-add: 41.0ms (17.1% of total)ival-true: 6.0ms (2.5% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 4 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 z t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (*.f64 x y) (*.f64 z t)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 x y) | overflow | 43 | |
| ↳ | (*.f64 z t) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 4 | 0 |
| - | 0 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 4 | 0 | 0 |
| - | 0 | 0 | 252 |
| number | freq |
|---|---|
| 0 | 252 |
| 1 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 111.0ms | 512× | 0 | valid |
Compiled 45 to 25 computations (44.4% saved)
ival-mult: 7.0ms (69.9% of total)ival-add: 2.0ms (20% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 106 |
| 1 | 76 | 98 |
| 2 | 131 | 98 |
| 3 | 297 | 98 |
| 4 | 444 | 98 |
| 5 | 572 | 98 |
| 6 | 626 | 98 |
| 7 | 638 | 98 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z t)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 t z (*.f64 y x)) |
(sort x y)
(sort z t)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (+.f64 (*.f64 x y) (*.f64 z t)) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) (*.f64 z t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 10 | 17 |
| 1 | 13 | 17 |
| 0 | 13 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
x |
y |
(*.f64 z t) |
z |
t |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z t)) |
(fma.f64 t z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.8554666858302059 | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 90.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-mult: 3.0ms (61.3% of total)ival-add: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) (taylor -inf t) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ t (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ t (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ t (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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 y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* t z) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* t z) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* t z) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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 y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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 (* t z) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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 (* x y) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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 (* x y) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 z t)) (patch (+.f64 (*.f64 x y) (*.f64 z t)) #<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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((+ (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | z | @ | inf | ((+ (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | t | @ | inf | ((+ (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | t | @ | 0 | ((+ (* x y) (* z t)) (* x y) (* z t)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) (* z t)) (* x y) (* z t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 432 |
| 1 | 149 | 432 |
| 2 | 468 | 432 |
| 3 | 1237 | 432 |
| 4 | 3337 | 432 |
| 5 | 5648 | 432 |
| 6 | 7136 | 432 |
| 0 | 8051 | 396 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y 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 (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y 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 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y 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 (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y 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 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y 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 | 13 |
| 0 | 10 | 13 |
| 1 | 26 | 13 |
| 2 | 182 | 13 |
| 3 | 1813 | 13 |
| 0 | 8222 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z t)) |
(*.f64 x y) |
(*.f64 z t) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
Compiled 6 763 to 490 computations (92.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 3 | 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 269 | 3 | 272 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 z t (*.f64 y x)) |
| ▶ | 59.5% | #s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
| ▶ | 44.4% | #s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
Compiled 14 to 18 computations (-28.6% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (fma.f64 z t (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z t)) (*.f64 z t)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 15 | 43 |
| 1 | 18 | 43 |
| 0 | 18 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(fma.f64 z t (*.f64 y x)) |
z |
t |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
#s(approx (+ (* x y) (* z t)) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(fma.f64 z t (*.f64 y x)) |
(fma.f64 t z (*.f64 y x)) |
z |
t |
(*.f64 y x) |
y |
x |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.7499917428166807 | (fma.f64 z t (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 25.92551513442889 | #s(approx (+ (* x y) (* z t)) (*.f64 z t)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 35.6082995418686 | #s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
| 17.0ms | 256× | 0 | valid |
Compiled 40 to 11 computations (72.5% saved)
ival-mult: 5.0ms (61.8% of total)ival-add: 3.0ms (37.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 t) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ z (/ (* x y) t))) (taylor inf t) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) (taylor -inf y) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t z) (* x y)) (taylor 0 x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.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 (* x y) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ (* t z) x))) (taylor inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* z t)) (*.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 (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* z t)) (*.f64 z t)) (patch #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) (taylor -inf x) (#s(alt (fma.f64 z t (*.f64 y x)) (patch (fma.f64 z t (*.f64 y x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | y | @ | 0 | ((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x))) |
| 0.0ms | x | @ | -inf | ((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x))) |
| 0.0ms | y | @ | -inf | ((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x))) |
| 0.0ms | t | @ | -inf | ((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x))) |
| 0.0ms | z | @ | -inf | ((+ (* x y) (* z t)) (* y x) (+ (* x y) (* z t)) (* z t) (+ (* z t) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 1008 |
| 1 | 149 | 1008 |
| 2 | 468 | 1008 |
| 3 | 1237 | 1008 |
| 4 | 3337 | 1008 |
| 5 | 5648 | 1008 |
| 6 | 7136 | 1008 |
| 0 | 8051 | 900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t z) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t (+ z (/ (* x y) t))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* x y) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* t z) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* z (+ t (/ (* x y) z))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* x y) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* y (+ x (/ (* t z) y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* t z) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(+ (* t z) (* x y)) |
(* x y) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x y) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x (+ y (/ (* t z) x))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t (+ z (/ (* x y) t))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t))))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* x y) |
(*.f64 y x) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* z (+ t (/ (* x y) z))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y 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 (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* y (+ x (/ (* t z) y))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y 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 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y))))) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* t z) |
(*.f64 z t) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(+ (* t z) (* x y)) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y 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 (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x (+ y (/ (* t z) x))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y 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 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x))))) |
(fma.f64 z t (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 0 | 15 | 32 |
| 1 | 46 | 32 |
| 2 | 288 | 32 |
| 3 | 3196 | 32 |
| 0 | 8128 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
(*.f64 z t) |
(fma.f64 z t (*.f64 y x)) |
| Outputs |
|---|
#<batchref> |
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Compiled 9 299 to 682 computations (92.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 0 | 445 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 445 | 3 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (fma.f64 z t (*.f64 y x)) |
| ✓ | 59.5% | #s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
| ✓ | 44.4% | #s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
Compiled 35 to 29 computations (17.1% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
(fma.f64 z t (*.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 z t)) |
| Outputs |
|---|
(fma.f64 z t (*.f64 y x)) |
7 calls:
| 12.0ms | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | x |
| 98.8% | 1 | y |
| 98.8% | 1 | z |
| 98.8% | 1 | t |
| 98.8% | 1 | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 98.8% | 1 | (*.f64 x y) |
| 98.8% | 1 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
| Inputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
#s(approx (+ (* x y) (* z t)) (*.f64 z t)) |
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
7 calls:
| 21.0ms | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.7% | 3 | x |
| 75.0% | 3 | y |
| 74.3% | 5 | z |
| 73.0% | 3 | t |
| 64.0% | 2 | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 81.9% | 3 | (*.f64 x y) |
| 78.3% | 3 | (*.f64 z t) |
Compiled 17 to 33 computations (-94.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
7 calls:
| 1.0ms | (*.f64 z t) |
| 1.0ms | t |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | (+.f64 (*.f64 x y) (*.f64 z t)) |
| 44.4% | 1 | z |
| 44.4% | 1 | t |
| 44.4% | 1 | x |
| 44.4% | 1 | y |
| 44.4% | 1 | (*.f64 z t) |
| 44.4% | 1 | (*.f64 x y) |
Compiled 17 to 33 computations (-94.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3123630729565078e+55 | 3.7266802165315847e+55 |
| 0.0ms | -2.5592303937906247e+122 | -3.352790038727082e+111 |
Compiled 10 to 14 computations (-40% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 22 | 62 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 z t (*.f64 y x)) |
(if (<=.f64 (*.f64 x y) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 30000000000000001668181478296010388342411594133047083008 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)))) |
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 z t (*.f64 y x)) |
(fma.f64 z t (*.f64 x y)) |
(if (<=.f64 (*.f64 x y) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)) (if (<=.f64 (*.f64 x y) #s(literal 30000000000000001668181478296010388342411594133047083008 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 z t)) #s(approx (+ (* x y) (* z t)) (*.f64 y x)))) |
(if (<=.f64 (*.f64 x y) #s(literal -200000000000000002881189517449054771166223724485662526027424629870997854138252263253726515251452912161010874366592467075072 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 30000000000000001668181478296010388342411594133047083008 binary64)) #s(approx (+ (* x y) (* z t)) (*.f64 t z)) #s(approx (+ (* x y) (* z t)) (*.f64 x y)))) |
#s(approx (+ (* x y) (* z t)) (*.f64 y x)) |
#s(approx (+ (* x y) (* z t)) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 432 |
| 1 | 149 | 432 |
| 2 | 468 | 432 |
| 3 | 1237 | 432 |
| 4 | 3337 | 432 |
| 5 | 5648 | 432 |
| 6 | 7136 | 432 |
| 0 | 8051 | 396 |
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 26 | 13 |
| 2 | 182 | 13 |
| 3 | 1813 | 13 |
| 0 | 8222 | 12 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 62 to 40 computations (35.5% saved)
(sort z t)
(sort x y)
Compiled 154 to 116 computations (24.7% saved)
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