
Time bar (total: 4.7s)
| 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 9 to 7 computations (22.2% saved)
| 699.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 428.0ms (84.9% of total)ival-mult: 66.0ms (13.1% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 4.0ms (0.8% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x y) x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 22.0ms | 512× | 0 | valid |
Compiled 45 to 19 computations (57.8% saved)
ival-add: 5.0ms (53% of total)ival-mult: 4.0ms (42.4% 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 | 15 | 41 |
| 1 | 51 | 38 |
| 2 | 164 | 35 |
| 3 | 558 | 35 |
| 4 | 1126 | 35 |
| 5 | 1291 | 35 |
| 6 | 1297 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 23 | 7 |
| 3 | 30 | 7 |
| 4 | 38 | 7 |
| 5 | 44 | 7 |
| 6 | 54 | 7 |
| 7 | 60 | 7 |
| 8 | 64 | 7 |
| 0 | 64 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x) |
(sort x y)
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (+.f64 (+.f64 (*.f64 x y) x) y) | |
| cost-diff | 128 | (+.f64 (*.f64 x y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 17 |
| 0 | 8 | 17 |
| 1 | 13 | 17 |
| 2 | 23 | 17 |
| 3 | 30 | 17 |
| 4 | 38 | 17 |
| 5 | 44 | 17 |
| 6 | 54 | 17 |
| 7 | 60 | 17 |
| 8 | 64 | 17 |
| 0 | 64 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 (*.f64 x y) x) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x) |
(+.f64 (*.f64 x y) x) |
(fma.f64 y x x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (+.f64 (*.f64 x y) x) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 x y) x) |
| 23.0ms | 256× | 0 | valid |
Compiled 19 to 7 computations (63.2% saved)
ival-add: 2.0ms (43.6% of total)ival-mult: 2.0ms (43.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 (+ 1 y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) x) (patch (+.f64 (*.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (*.f64 x y) x) y) (patch (+.f64 (+.f64 (*.f64 x y) 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 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | x | @ | 0 | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | x | @ | -inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | y | @ | -inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1.0ms | x | @ | inf | ((+ (* x y) x) (+ (+ (* x y) x) y) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 332 |
| 1 | 131 | 332 |
| 2 | 333 | 332 |
| 3 | 942 | 332 |
| 4 | 2133 | 332 |
| 5 | 3036 | 332 |
| 6 | 3587 | 332 |
| 7 | 4298 | 332 |
| 8 | 4513 | 332 |
| 9 | 4656 | 332 |
| 10 | 5354 | 332 |
| 0 | 8413 | 289 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) 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 (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) 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 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) 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))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) 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 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 38 | 15 |
| 2 | 332 | 15 |
| 3 | 5289 | 15 |
| 0 | 8143 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) x) |
(+.f64 (+.f64 (*.f64 x y) x) y) |
(*.f64 x y) |
| Outputs |
|---|
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Compiled 4 891 to 555 computations (88.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 3 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 3 | 251 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
| ▶ | 64.2% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| ▶ | 65.5% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 18 | 46 |
| 1 | 33 | 46 |
| 2 | 45 | 46 |
| 3 | 51 | 46 |
| 4 | 61 | 46 |
| 5 | 67 | 46 |
| 6 | 71 | 46 |
| 0 | 71 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
x |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 (fma.f64 y x x) y) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
y |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) | |
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 22.92953222074143 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 22.101271759920486 | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| 24.0ms | 256× | 0 | valid |
Compiled 43 to 14 computations (67.4% saved)
ival-add: 10.0ms (62.4% of total)ival-mult: 6.0ms (37.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor -inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) (patch #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | y | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | 0 | ((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) x) (+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 698 |
| 1 | 182 | 698 |
| 2 | 465 | 698 |
| 3 | 1205 | 698 |
| 4 | 2732 | 698 |
| 5 | 3560 | 698 |
| 6 | 3956 | 698 |
| 7 | 4242 | 698 |
| 8 | 4392 | 698 |
| 9 | 4480 | 698 |
| 0 | 8407 | 590 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 18 | 39 |
| 1 | 99 | 39 |
| 2 | 692 | 39 |
| 0 | 8221 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 y x y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
#<batchref> |
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Compiled 10 072 to 1 208 computations (88% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 2 | 534 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 532 | 5 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
| ▶ | 71.3% | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| ✓ | 64.2% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| ✓ | 65.5% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| ▶ | 30.9% | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Compiled 26 to 23 computations (11.5% saved)
| 1× | egg-herbie |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) y) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 47 |
| 0 | 17 | 47 |
| 1 | 30 | 47 |
| 2 | 38 | 47 |
| 3 | 41 | 47 |
| 4 | 53 | 47 |
| 5 | 53 | 47 |
| 6 | 73 | 47 |
| 7 | 76 | 47 |
| 8 | 78 | 47 |
| 0 | 78 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) | |
| accuracy | 32.934584516848155 | #s(approx (+ x 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 22.92953222074143 | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) | |
| accuracy | 30.265020714322482 | #s(approx (+ (* y x) y) (*.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 32 to 13 computations (59.4% saved)
ival-add: 6.0ms (54.1% of total)ival-mult: 5.0ms (45.1% 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 (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y 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 x (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y 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 (* y (+ 1 x)) (taylor inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ x (/ x y)))) (taylor inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) (taylor -inf y) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 x) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y 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 (* y (+ 1 x)) (taylor -inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x y)) (taylor 0 x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.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 y (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ 1 y))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (/ y x))) (taylor inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y 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 (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ y (/ y x)))) (taylor inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) (patch #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y x) y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (+ (* y x) y) (*.f64 y x)) (patch #s(approx (+ (* y 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 (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (patch (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ x 1) #s(literal 1 binary64)) (patch #s(approx (+ x 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | x | @ | inf | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 0.0ms | y | @ | 0 | ((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (* (+ x 1) y) x) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 510 |
| 1 | 164 | 510 |
| 2 | 435 | 510 |
| 3 | 1187 | 510 |
| 4 | 2706 | 510 |
| 5 | 3498 | 510 |
| 6 | 3894 | 510 |
| 7 | 4177 | 510 |
| 8 | 4326 | 510 |
| 9 | 4412 | 510 |
| 0 | 8340 | 445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(+ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* y (+ 1 (+ x (/ x y)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ 1 x)) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
(+ y (* x (+ 1 y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
(* x (+ 1 (+ y (/ y x)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ x (* y (+ 1 x))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* y (+ 1 (+ x (/ x y)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
y |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(+ y (* x (+ 1 y))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x (+ 1 (+ y (/ y x)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* 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))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 42 |
| 0 | 17 | 42 |
| 1 | 90 | 42 |
| 2 | 648 | 42 |
| 0 | 8313 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (* y x) y) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
#s(approx (+ x 1) #s(literal 1 binary64)) |
| Outputs |
|---|
#<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> |
#<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> |
Compiled 2 522 to 227 computations (91% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 0 | 176 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 176 | 5 | 181 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
| ✓ | 71.3% | (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| ✓ | 64.2% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
| ✓ | 65.5% | #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| ✓ | 30.9% | #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Compiled 59 to 40 computations (32.2% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(+.f64 (+.f64 (*.f64 x y) x) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
3 calls:
| 49.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
| Outputs |
|---|
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 99.0% | 3 | y |
| 98.7% | 2 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 1 | y |
| 65.5% | 1 | x |
| 65.5% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
Compiled 9 to 9 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 (+.f64 (*.f64 x y) x) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.9% | 1 | y |
| 30.9% | 1 | (+.f64 (+.f64 (*.f64 x y) x) y) |
| 30.9% | 1 | x |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.087114076945593e-271 | 1.128881170465991e-268 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 76 |
| 1 | 30 | 76 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 (+.f64 (*.f64 y x) x) y) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x) |
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))) |
(if (<=.f64 (+.f64 (+.f64 (*.f64 y x) x) y) #s(literal -7613526571406249/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))) |
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) |
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 698 |
| 1 | 182 | 698 |
| 2 | 465 | 698 |
| 3 | 1205 | 698 |
| 4 | 2732 | 698 |
| 5 | 3560 | 698 |
| 6 | 3956 | 698 |
| 7 | 4242 | 698 |
| 8 | 4392 | 698 |
| 9 | 4480 | 698 |
| 0 | 8407 | 590 |
| 0 | 41 | 332 |
| 1 | 131 | 332 |
| 2 | 333 | 332 |
| 3 | 942 | 332 |
| 4 | 2133 | 332 |
| 5 | 3036 | 332 |
| 6 | 3587 | 332 |
| 7 | 4298 | 332 |
| 8 | 4513 | 332 |
| 9 | 4656 | 332 |
| 10 | 5354 | 332 |
| 0 | 8413 | 289 |
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 38 | 15 |
| 2 | 332 | 15 |
| 3 | 5289 | 15 |
| 0 | 8143 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 72 to 39 computations (45.8% saved)
(sort x y)
Compiled 142 to 74 computations (47.9% saved)
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