
Time bar (total: 5.4s)
| 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 8 computations (11.1% saved)
| 356.0ms | 8 256× | 0 | valid |
ival-mult: 112.0ms (63.6% of total)ival-sub: 51.0ms (29% of total)ival-true: 5.0ms (2.8% of total)exact: 5.0ms (2.8% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 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 |
| 37.0ms | 512× | 0 | valid |
Compiled 59 to 28 computations (52.5% saved)
ival-mult: 20.0ms (83% of total)ival-sub: 3.0ms (12.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 56 | 37 |
| 2 | 222 | 35 |
| 3 | 743 | 35 |
| 4 | 1281 | 35 |
| 5 | 1901 | 35 |
| 6 | 1903 | 35 |
| 7 | 1903 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 40 | 7 |
| 3 | 80 | 7 |
| 4 | 170 | 7 |
| 5 | 247 | 7 |
| 6 | 355 | 7 |
| 7 | 546 | 7 |
| 8 | 664 | 7 |
| 9 | 705 | 7 |
| 0 | 705 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 40 | 16 |
| 3 | 80 | 16 |
| 4 | 170 | 16 |
| 5 | 247 | 16 |
| 6 | 355 | 16 |
| 7 | 546 | 16 |
| 8 | 664 | 16 |
| 9 | 705 | 16 |
| 0 | 705 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.078125 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 13.0ms | 256× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-mult: 3.0ms (59.1% of total)ival-sub: 1.0ms (19.7% 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 #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | y | @ | inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | x | @ | -inf | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((* (* x y) (- 1 y)) (* x y) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 287 |
| 1 | 70 | 266 |
| 2 | 165 | 266 |
| 3 | 263 | 266 |
| 4 | 635 | 266 |
| 5 | 2084 | 266 |
| 6 | 4141 | 266 |
| 7 | 5629 | 266 |
| 8 | 6507 | 266 |
| 9 | 7085 | 266 |
| 10 | 7712 | 266 |
| 0 | 8217 | 266 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 165 | 13 |
| 3 | 1343 | 13 |
| 0 | 9562 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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#<batchref> |
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 11 391 to 1 286 computations (88.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 7 | 485 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 8 | 486 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.1% | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| 90.9% | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) | |
| ▶ | 99.8% | (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 65.3% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 59.2% | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ▶ | 56.7% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 161 to 122 computations (24.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 320 | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 6848 | (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 111 |
| 0 | 30 | 111 |
| 1 | 55 | 111 |
| 2 | 110 | 107 |
| 3 | 189 | 107 |
| 4 | 319 | 107 |
| 5 | 466 | 107 |
| 6 | 708 | 107 |
| 7 | 919 | 107 |
| 8 | 1179 | 107 |
| 9 | 1269 | 107 |
| 10 | 1291 | 107 |
| 11 | 1295 | 107 |
| 12 | 1298 | 107 |
| 13 | 1299 | 107 |
| 14 | 1299 | 107 |
| 0 | 1299 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 y x) |
y |
x |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 x y) |
y |
x |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 x y)) |
(*.f64 x y) |
y |
x |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 x y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 8.249773812123212 | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.078125 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 31.764795815638504 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 7.285440276505479 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 22.130936712271552 | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 27.71390448041329 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| accuracy | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.09765625 | (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
| 32.0ms | 256× | 0 | valid |
Compiled 208 to 37 computations (82.2% saved)
ival-mult: 9.0ms (46.3% of total)ival-pow: 5.0ms (25.7% of total)ival-div: 2.0ms (10.3% of total)ival-add: 1.0ms (5.1% of total)ival-sub: 1.0ms (5.1% of total)ival-neg: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x))) |
| 2.0ms | y | @ | -inf | ((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x))) |
| 2.0ms | y | @ | inf | ((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x))) |
| 1.0ms | x | @ | 0 | ((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x))) |
| 1.0ms | y | @ | 0 | ((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1443 |
| 1 | 165 | 1328 |
| 2 | 384 | 1326 |
| 3 | 955 | 1326 |
| 4 | 2324 | 1326 |
| 5 | 4786 | 1326 |
| 6 | 7032 | 1326 |
| 0 | 8097 | 1324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* x y) |
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(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* x y) |
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(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* x y) |
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(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
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(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
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(* -1 (pow y 2)) |
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(* -1 y) |
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(* y (+ x (* -1 (* x y)))) |
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1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
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(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
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(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(* -1 y) |
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(* y (- (/ 1 y) 1)) |
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(* -1 (* x (pow y 2))) |
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(* x y) |
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(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
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(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
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(* (pow y 2) (+ (* -1 x) (/ x y))) |
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(* -1 (* x (pow y 2))) |
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(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
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(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 y) |
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(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (* y (- 1 y))) |
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(* x y) |
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(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
| Outputs |
|---|
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
#s(literal 1 binary64) |
(-.f64 y #s(literal -1 binary64)) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 85 |
| 0 | 30 | 85 |
| 1 | 94 | 81 |
| 2 | 517 | 81 |
| 3 | 5658 | 75 |
| 0 | 9208 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 y x) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| Outputs |
|---|
#<batchref> |
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Compiled 22 754 to 1 904 computations (91.6% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 343 | 4 | 1 347 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 344 | 11 | 1 355 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.1% | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
| ▶ | 90.9% | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) |
| ▶ | 65.3% | (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))) | |
| ▶ | 34.3% | (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 65.3% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 59.2% | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ▶ | 24.0% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 56.7% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 199 to 152 computations (23.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (pow.f64 (*.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 7488 | (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 128 | (+.f64 #s(literal -1 binary64) (*.f64 y y)) | |
| cost-diff | 7040 | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (pow.f64 (*.f64 x y) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 6848 | (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 158 |
| 0 | 48 | 148 |
| 1 | 86 | 148 |
| 2 | 198 | 138 |
| 3 | 636 | 136 |
| 4 | 3000 | 136 |
| 5 | 5509 | 136 |
| 0 | 8100 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 y x) |
y |
x |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
(*.f64 y x) |
x |
(-.f64 #s(literal -1 binary64) y) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 x y) |
x |
#s(literal -1 binary64) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x y) |
y |
x |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 y y) |
y |
(*.f64 x y) |
x |
(-.f64 #s(literal -1 binary64) y) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) |
(*.f64 x y) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 0.19369125976844204 | (pow.f64 (*.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 31.764795815638504 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 33.681292527008566 | (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.4875160347595068 | (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) | |
| accuracy | 5.351494398115212 | (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.09765625 | (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 31.932697304017772 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 48.60992979070804 | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2277528345231096 | (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) | |
| accuracy | 0.2536595393307386 | (pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
| 52.0ms | 256× | 0 | valid |
Compiled 299 to 59 computations (80.3% saved)
ival-mult: 11.0ms (31.8% of total)ival-div: 8.0ms (23.1% of total)ival-pow: 7.0ms (20.2% of total)ival-sub: 3.0ms (8.7% of total)ival-neg: 2.0ms (5.8% of total)ival-pow2: 2.0ms (5.8% of total)ival-add: 1.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
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#s(alt #<batchref> (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y)) |
| 3.0ms | y | @ | inf | ((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y)) |
| 3.0ms | x | @ | 0 | ((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y)) |
| 3.0ms | y | @ | -inf | ((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y)) |
| 3.0ms | x | @ | -inf | ((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 2055 |
| 1 | 212 | 1898 |
| 2 | 581 | 1875 |
| 3 | 1713 | 1875 |
| 4 | 4437 | 1875 |
| 5 | 7835 | 1875 |
| 0 | 8303 | 1864 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* x (pow y 2)))) |
(* y (+ (* -1 x) (* x (pow y 2)))) |
(* y (+ (* -1 x) (* x (pow y 2)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x (pow y 3)) |
(* (pow y 3) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 3) (+ x (* -1 (/ x (pow y 2))))) |
(* (pow y 3) (+ x (* -1 (/ x (pow y 2))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
(* x (* y (- (pow y 2) 1))) |
| Outputs |
|---|
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
#s(literal 1 binary64) |
(-.f64 y #s(literal -1 binary64)) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
#s(literal -1 binary64) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
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(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
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(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
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(*.f64 (*.f64 (neg.f64 y) y) x) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
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(/.f64 #s(literal -1 binary64) y) |
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y y) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
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(*.f64 y y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
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(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 y y) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
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(*.f64 (pow.f64 y #s(literal 3 binary64)) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(neg.f64 y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
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(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
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(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
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(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
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(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
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(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(neg.f64 x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 132 |
| 0 | 48 | 122 |
| 1 | 176 | 112 |
| 2 | 992 | 111 |
| 0 | 9185 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 x y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 y x) |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) |
(pow.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) |
#s(approx (- 1 y) (neg.f64 y)) |
| Outputs |
|---|
#<batchref> |
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Compiled 54 181 to 4 708 computations (91.3% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 832 | 8 | 2 840 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 837 | 14 | 2 851 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.1% | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| ▶ | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
| 56.6% | (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) | |
| ▶ | 65.3% | (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
| 65.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)))) | |
| ▶ | 65.3% | (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) |
| ▶ | 17.3% | (*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) |
| 38.7% | (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 65.3% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 59.2% | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 24.0% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 56.7% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 289 to 215 computations (25.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 8384 | (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 6848 | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) | |
| cost-diff | 384 | (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) | |
| cost-diff | -5760 | (/.f64 #s(literal 1 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 6848 | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 197 |
| 0 | 46 | 184 |
| 1 | 82 | 180 |
| 2 | 193 | 176 |
| 3 | 615 | 175 |
| 4 | 2169 | 169 |
| 5 | 4715 | 169 |
| 6 | 6744 | 169 |
| 0 | 8021 | 169 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
x |
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) |
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
x |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
y |
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 y) |
(*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) |
(*.f64 x y) |
x |
y |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) |
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 x y)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(*.f64 x y) |
x |
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
x |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
y |
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
x |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(pow.f64 (*.f64 x y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 y) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 x y) |
x |
y |
(*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(sqrt.f64 (*.f64 x y)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) | |
| accuracy | 7.8022218111265484 | (sqrt.f64 (*.f64 x y)) | |
| accuracy | 7.821691291325505 | (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) | |
| accuracy | 15.46395865520252 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0703125 | (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) | |
| accuracy | 0.078125 | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.05078125 | (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) | |
| accuracy | 0.08203125 | (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) | |
| accuracy | 15.63290082956087 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.04296875 | (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.04296875 | (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) | |
| accuracy | 15.63290082956087 | #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.078125 | (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) | |
| accuracy | 0.17944078933073862 | (/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| 30.0ms | 123× | 0 | valid |
| 26.0ms | 133× | 0 | invalid |
Compiled 366 to 55 computations (85% saved)
ival-div: 14.0ms (43.5% of total)ival-mult: 7.0ms (21.7% of total)ival-pow: 7.0ms (21.7% of total)ival-sub: 2.0ms (6.2% of total)ival-sqrt: 2.0ms (6.2% of total)ival-neg: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y))) |
| 5.0ms | x | @ | -inf | ((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y))) |
| 2.0ms | x | @ | 0 | ((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y))) |
| 2.0ms | x | @ | inf | ((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y))) |
| 2.0ms | y | @ | 0 | ((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 2371 |
| 1 | 305 | 2123 |
| 2 | 870 | 2069 |
| 3 | 2481 | 2057 |
| 4 | 6893 | 2057 |
| 0 | 8030 | 2053 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(/ 1 x) |
(+ (/ 1 x) (/ y x)) |
(+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
1 |
1 |
1 |
1 |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) |
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y) |
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
1 |
1 |
1 |
1 |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) |
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2)))) |
(* (pow y 2) (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))) |
(* (pow y 2) (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))) |
(* (pow y 2) (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
1 |
1 |
1 |
1 |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
1 |
1 |
1 |
1 |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (/ 1 (* x y))) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(sqrt (* x y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(/ 1 (* x (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (pow (sqrt -1) 2))) |
(* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) |
(* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) |
(* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) |
(* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(pow (sqrt -1) 2) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
x |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) y) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) |
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(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(sqrt.f64 (*.f64 x y)) |
(sqrt.f64 (*.f64 x y)) |
(sqrt.f64 (*.f64 x y)) |
(sqrt.f64 (*.f64 x y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 161 |
| 0 | 46 | 148 |
| 1 | 164 | 124 |
| 2 | 862 | 124 |
| 3 | 6874 | 124 |
| 0 | 8685 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) |
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 y) |
(*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) |
(*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
#s(approx (- 1 y) (neg.f64 y)) |
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) |
(sqrt.f64 (*.f64 x y)) |
| Outputs |
|---|
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Compiled 49 527 to 3 975 computations (92% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 480 | 3 | 2 483 |
| Fresh | 0 | 3 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 483 | 14 | 2 497 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.1% | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| 34.8% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))) (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) y)) (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))) | |
| 56.6% | (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) | |
| 65.3% | (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) | |
| ✓ | 65.3% | (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
| 65.3% | (/.f64 y #s(approx (/ (pow (- 1 y) -1) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) | |
| 65.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)))) | |
| ✓ | 65.3% | (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) |
| 38.7% | (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 65.3% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 59.2% | #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 24.0% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 56.7% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 547 to 221 computations (59.6% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) |
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 y #s(approx (/ (pow (- 1 y) -1) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) |
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))) |
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))) (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) y)) (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 x y) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 26.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
3 calls:
| 5.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 4 | x |
| 98.1% | 3 | y |
| 89.4% | 2 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 1 | x |
| 56.7% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 64.3% | 2 | y |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 1 | x |
| 56.7% | 1 | y |
Compiled 2 to 4 computations (-100% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.7386817013662248e-15 | 19.284957673673215 |
| 10.0ms | -1404.6598494541972 | -0.6054304413452645 |
| 11.0ms | 288× | 0 | valid |
Compiled 388 to 335 computations (13.7% saved)
ival-mult: 4.0ms (75.1% of total)ival-sub: 1.0ms (18.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.7386817013662248e-15 | 19.284957673673215 |
| 1.0ms | -1404.6598494541972 | -0.6054304413452645 |
Compiled 460 to 371 computations (19.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.7386817013662248e-15 | 19.284957673673215 |
Compiled 240 to 201 computations (16.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 1 | 45 | 131 |
| 2 | 60 | 131 |
| 3 | 72 | 131 |
| 4 | 76 | 131 |
| 5 | 77 | 131 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 287 |
| 1 | 70 | 266 |
| 2 | 165 | 266 |
| 3 | 263 | 266 |
| 4 | 635 | 266 |
| 5 | 2084 | 266 |
| 6 | 4141 | 266 |
| 7 | 5629 | 266 |
| 8 | 6507 | 266 |
| 9 | 7085 | 266 |
| 10 | 7712 | 266 |
| 0 | 8217 | 266 |
| 0 | 20 | 85 |
| 0 | 30 | 85 |
| 1 | 94 | 81 |
| 2 | 517 | 81 |
| 3 | 5658 | 75 |
| 0 | 9208 | 70 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 158 to 53 computations (66.5% saved)
(negabs x)
Compiled 304 to 92 computations (69.7% saved)
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