
Time bar (total: 6.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 627.0ms | 8 256× | 0 | valid |
ival-sub: 77.0ms (34.1% of total)ival-div: 69.0ms (30.5% of total)ival-add: 69.0ms (30.5% of total)ival-true: 7.0ms (3.1% of total)ival-assert: 4.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 149.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-sub: 129.0ms (94.5% of total)ival-div: 3.0ms (2.2% of total)ival-add: 3.0ms (2.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 50 | 37 |
| 2 | 122 | 35 |
| 3 | 313 | 35 |
| 4 | 821 | 35 |
| 5 | 1352 | 35 |
| 6 | 1401 | 35 |
| 7 | 1441 | 35 |
| 8 | 1484 | 35 |
| 9 | 1496 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 14 | 7 |
| 2 | 21 | 7 |
| 3 | 33 | 7 |
| 4 | 60 | 7 |
| 5 | 104 | 7 |
| 6 | 171 | 7 |
| 7 | 279 | 7 |
| 8 | 458 | 7 |
| 9 | 773 | 7 |
| 10 | 781 | 7 |
| 11 | 819 | 7 |
| 12 | 848 | 7 |
| 0 | 848 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 y x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 14 | 15 |
| 2 | 21 | 15 |
| 3 | 33 | 15 |
| 4 | 60 | 15 |
| 5 | 104 | 15 |
| 6 | 171 | 15 |
| 7 | 279 | 15 |
| 8 | 458 | 15 |
| 9 | 773 | 15 |
| 10 | 781 | 15 |
| 11 | 819 | 15 |
| 12 | 848 | 15 |
| 0 | 848 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
x |
y |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(+.f64 y x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.029628759768442016 | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 11.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-sub: 2.0ms (40.8% of total)ival-div: 2.0ms (40.8% of total)ival-add: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 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 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 x y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.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 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 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (+ x y)) (- x y) (+ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 462 |
| 1 | 439 | 441 |
| 2 | 1225 | 387 |
| 3 | 4744 | 375 |
| 0 | 8366 | 351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y))) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 39 | 13 |
| 2 | 309 | 13 |
| 3 | 5153 | 13 |
| 0 | 8671 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(-.f64 x y) |
(+.f64 x y) |
| Outputs |
|---|
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Compiled 12 626 to 1 251 computations (90.1% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 551 | 9 | 560 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 551 | 10 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| 73.3% | (fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ▶ | 50.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
| 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| ▶ | 51.4% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| 50.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) | |
| ▶ | 50.6% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) |
| 50.4% | #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) | |
| ▶ | 49.7% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 233 to 159 computations (31.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) | |
| cost-diff | 128 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) (-.f64 x y)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 137 |
| 0 | 40 | 137 |
| 1 | 66 | 137 |
| 2 | 109 | 135 |
| 3 | 262 | 135 |
| 4 | 629 | 135 |
| 5 | 1508 | 135 |
| 6 | 2556 | 135 |
| 7 | 3630 | 135 |
| 8 | 4353 | 135 |
| 9 | 4479 | 135 |
| 10 | 4540 | 135 |
| 11 | 4553 | 135 |
| 12 | 4927 | 135 |
| 13 | 5095 | 135 |
| 14 | 5107 | 135 |
| 15 | 5111 | 135 |
| 16 | 5111 | 135 |
| 17 | 5111 | 135 |
| 18 | 5119 | 135 |
| 19 | 5143 | 135 |
| 20 | 5152 | 135 |
| 21 | 5152 | 135 |
| 0 | 5152 | 133 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 y x) |
y |
x |
(-.f64 x y) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
x |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(+.f64 x y) |
y |
x |
(-.f64 x y) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
(+.f64 x y) |
x |
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) x) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
x |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y x)) | |
| accuracy | 0.1015625 | (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (/.f64 #s(literal -2 binary64) x) y) | |
| accuracy | 31.591112077807598 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) | |
| accuracy | 31.102541425703517 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.029628759768442016 | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) | |
| accuracy | 31.63242701050512 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 32.19961455053087 | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) | |
| accuracy | 0.029628759768442016 | (/.f64 (+.f64 y x) (-.f64 x y)) |
| 439.0ms | 256× | 0 | valid |
Compiled 250 to 47 computations (81.2% saved)
ival-div: 210.0ms (93.5% of total)ival-add: 5.0ms (2.2% of total)ival-mult: 5.0ms (2.2% of total)ival-sub: 2.0ms (0.9% of total)ival-neg: 1.0ms (0.4% 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (+.f64 y x) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
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| Outputs |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -2 binary64) x) y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 130.0ms | x | @ | 0 | ((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (+ (* (- 1 (/ y x)) (* (/ -2 x) y)) 1) (/ (- x y) (+ x y)) (- 1 (/ y x)) (* (/ -2 x) y)) |
| 9.0ms | x | @ | inf | ((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (+ (* (- 1 (/ y x)) (* (/ -2 x) y)) 1) (/ (- x y) (+ x y)) (- 1 (/ y x)) (* (/ -2 x) y)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (+ (* (- 1 (/ y x)) (* (/ -2 x) y)) 1) (/ (- x y) (+ x y)) (- 1 (/ y x)) (* (/ -2 x) y)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (+ (* (- 1 (/ y x)) (* (/ -2 x) y)) 1) (/ (- x y) (+ x y)) (- 1 (/ y x)) (* (/ -2 x) y)) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ (+ y x) (- x y))) (/ (+ y x) (- x y)) (+ y x) (- x y) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (- x y) (neg y) (+ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ y x) (+ (* (- 1 (/ y x)) (* (/ -2 x) y)) 1) (/ (- x y) (+ x y)) (- 1 (/ y x)) (* (/ -2 x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 3039 |
| 1 | 833 | 2755 |
| 2 | 2445 | 2544 |
| 3 | 7474 | 2544 |
| 0 | 8075 | 2314 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
-1 |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* -2 (/ y x)) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y))))) |
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y)))) |
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y)))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* -1 (/ y x)) |
(* y (- (/ 1 y) (/ 1 x))) |
(* y (- (/ 1 y) (/ 1 x))) |
(* y (- (/ 1 y) (/ 1 x))) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
-1 |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -2 (/ y x)) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2))))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -1 (/ y x)) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -1 (* y (- (/ 1 x) (/ 1 y)))) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ (+ x (* -2 y)) x) |
(/ (+ x (* -2 y)) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2)) |
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2)) |
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2)) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -1 (/ y x)) |
(/ (- x y) x) |
(/ (- x y) x) |
(/ (- x y) x) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
x |
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x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
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(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
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(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))) |
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1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
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(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
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1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
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x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ y x))) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
(* -2 (/ y x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y))) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 y y)) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) (neg.f64 y))) y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 x (/.f64 x y) x)) y)) y)) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) (neg.f64 y))) y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) (neg.f64 y))) y)) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) (neg.f64 y))) y)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 y y)) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) y)) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) (neg.f64 y))) y)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
y |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) y x) x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 x y) (*.f64 x x)) (*.f64 x x)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -2 binary64) y) y)) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(/.f64 (neg.f64 y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) y y) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (*.f64 y y) (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(/.f64 (-.f64 x y) x) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 117 |
| 0 | 40 | 115 |
| 1 | 163 | 115 |
| 2 | 1237 | 115 |
| 0 | 8624 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(+.f64 y x) |
(-.f64 x y) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
(+.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(/.f64 y x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) y) |
| Outputs |
|---|
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Compiled 26 602 to 2 505 computations (90.6% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 157 | 3 | 1 160 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 160 | 10 | 1 170 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.3% | (fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 50.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
| ▶ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ▶ | 50.6% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.4% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ▶ | 50.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ▶ | 50.4% | #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
| ✓ | 49.7% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 205 to 140 computations (31.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 2304 | (fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 175 |
| 0 | 50 | 165 |
| 1 | 96 | 163 |
| 2 | 216 | 161 |
| 3 | 421 | 161 |
| 4 | 829 | 161 |
| 5 | 2962 | 161 |
| 0 | 8148 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) |
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) |
x |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
(-.f64 y x) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(neg.f64 y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal -1 binary64) |
(+.f64 x y) |
y |
x |
(-.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(/.f64 (/.f64 x (-.f64 y x)) (+.f64 x y)) |
x |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(+.f64 x y) |
y |
(-.f64 y x) |
(/.f64 (neg.f64 y) (+.f64 x y)) |
(neg.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 (neg.f64 y) (+.f64 y x)) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) | |
| accuracy | 17.785915334635717 | (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 31.591112077807598 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) | |
| accuracy | 31.44850491434381 | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| accuracy | 31.102541425703517 | #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) | |
| accuracy | 31.30673855646167 | #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.02734375 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| 71.0ms | 256× | 0 | valid |
Compiled 326 to 65 computations (80.1% saved)
ival-div: 22.0ms (41.4% of total)ival-mult: 11.0ms (20.7% of total)ival-sub: 10.0ms (18.8% of total)ival-add: 8.0ms (15% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.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 (+.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 (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) -2)) 1) (/ y x) (+ (* (/ 2 x) y) -2) (+ (* (/ x (* (+ y x) (- y x))) (- y x)) (/ (neg y) (+ y x))) (* (+ y x) (- y x)) (/ 2 x) (/ x (* (+ y x) (- y x))) (/ (neg y) (+ y x)) (neg y)) |
| 3.0ms | y | @ | inf | ((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) -2)) 1) (/ y x) (+ (* (/ 2 x) y) -2) (+ (* (/ x (* (+ y x) (- y x))) (- y x)) (/ (neg y) (+ y x))) (* (+ y x) (- y x)) (/ 2 x) (/ x (* (+ y x) (- y x))) (/ (neg y) (+ y x)) (neg y)) |
| 3.0ms | x | @ | inf | ((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) -2)) 1) (/ y x) (+ (* (/ 2 x) y) -2) (+ (* (/ x (* (+ y x) (- y x))) (- y x)) (/ (neg y) (+ y x))) (* (+ y x) (- y x)) (/ 2 x) (/ x (* (+ y x) (- y x))) (/ (neg y) (+ y x)) (neg y)) |
| 3.0ms | x | @ | -inf | ((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) -2)) 1) (/ y x) (+ (* (/ 2 x) y) -2) (+ (* (/ x (* (+ y x) (- y x))) (- y x)) (/ (neg y) (+ y x))) (* (+ y x) (- y x)) (/ 2 x) (/ x (* (+ y x) (- y x))) (/ (neg y) (+ y x)) (neg y)) |
| 3.0ms | x | @ | 0 | ((* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x) (/ (- x y) (+ x y)) (+ (* (/ y x) -2) 1) (/ (- x y) (+ x y)) (+ (* (/ x y) 2) -1) (/ x y) (/ (- x y) (+ x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) -2)) 1) (/ y x) (+ (* (/ 2 x) y) -2) (+ (* (/ x (* (+ y x) (- y x))) (- y x)) (/ (neg y) (+ y x))) (* (+ y x) (- y x)) (/ 2 x) (/ x (* (+ y x) (- y x))) (/ (neg y) (+ y x)) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 591 | 4200 |
| 1 | 1839 | 3613 |
| 2 | 6031 | 3529 |
| 0 | 8428 | 3312 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ -1 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(* 2 (/ x y)) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ (+ (* -1 y) (* 2 x)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
-2 |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(/ -1 x) |
(- (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x)) |
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 x)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 7))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 x)) |
(* -1 (/ y x)) |
(* y (- (/ y (pow x 2)) (/ 1 x))) |
(* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* y (- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1) |
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1) |
(/ -1 y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* -2 (/ y x)) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
(* y (- (/ 1 y) (* 2 (/ 1 x)))) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-1 |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y))))) |
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y)))) |
(* (pow y 2) (- (+ (* 2 (/ 1 (pow x 2))) (/ 1 (pow y 2))) (/ 2 (* x y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ y x)) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (- (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) (+ 1 (/ (pow x 2) (pow y 2)))) |
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* 2 (/ x y)) (/ (pow x 3) (pow y 3)))) (+ 1 (+ (* -1 (/ (pow x 3) (pow y 3))) (/ (pow x 2) (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))) (pow y 2)))) (/ (* x (+ x (* -1 x))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (* x (pow (+ x (* -1 x)) 2))) (* -1 (pow x 3))))) (* (pow x 3) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ x (* -1 x)) 2)) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (* x (+ x (* -1 x))) y)))) (pow y 2)) |
-1 |
(- (/ x y) 1) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) |
(- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* -2 (/ y x)) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* 2 (/ 1 x)) (/ 1 y)))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (* x y))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2))))) |
(* (pow y 2) (+ (* -1 (/ (- (* 2 (/ 1 x)) (/ 1 y)) y)) (* 2 (/ 1 (pow x 2))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ y x)) |
(* -1 (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* 2 (/ (pow x 2) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) x) y)) 1) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ x (* -1 x))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3)) y)) (* x (+ x (* -1 x)))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) (* (pow x 3) (+ x (* -1 x)))) y)) (+ (* x (pow (+ x (* -1 x)) 2)) (pow x 3))) y)) (* x (+ x (* -1 x)))) y))) (pow y 2)) |
-1 |
(- (/ x y) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* -2 (/ y x)) |
(/ (+ x (* -2 y)) x) |
(/ (+ x (* -2 y)) x) |
(/ (+ x (* -2 y)) x) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(- (* 2 (/ x y)) 1) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* 2 (/ (pow y 2) (pow x 2))) |
(/ (+ (* -2 (* x y)) (* 2 (pow y 2))) (pow x 2)) |
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2)) |
(/ (+ (* 2 (pow y 2)) (* x (+ x (* -2 y)))) (pow x 2)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 (/ y x)) |
(/ (+ (* -2 x) (* 2 y)) x) |
(/ (+ (* -2 x) (* 2 y)) x) |
(/ (+ (* -2 x) (* 2 y)) x) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ x (pow y 2)) |
(* x (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))) |
(* x (+ (* (pow x 2) (+ (/ 1 (pow y 4)) (/ (pow x 2) (pow y 6)))) (/ 1 (pow y 2)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 6)) (/ (pow x 2) (pow y 8)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))) |
-1 |
(- (/ x y) 1) |
(- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
1 |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
(* 2 (/ x y)) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(* x (- (* 2 (/ 1 y)) (/ 1 x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3)))) (+ (/ y x) (/ (* y (- (* -1 y) y)) (pow x 2)))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))) |
(+ 1 (+ (* -2 (/ y x)) (* 2 (/ (pow y 2) (pow x 2))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
-2 |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(- (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) |
(- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 3) (pow x 3))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -1 x) |
(/ (- (* -1 (/ (+ y (* -1 y)) x)) 1) x) |
(/ (- (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) x) |
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))) x) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (/ (pow y 2) x)) x) |
(/ (+ (* -1 y) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(/ (+ (* -1 y) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ (pow y 2) x) (/ (pow y 4) (pow x 3))))) x) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -2 (/ y x))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(* 2 (/ x y)) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (- (/ 1 x) (* 2 (/ 1 y))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
-2 |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
(- (* 2 (/ y x)) 2) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow y 2) x)) (* 2 y)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (+ y (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow (+ y (* -1 y)) 2) x))) (* -1 (+ y (* -1 y)))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow y 2) (+ y (* -1 y))) x)) (/ (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2)))) x)) (* -1 (+ y (* -1 y)))) x))) x)) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
(neg.f64 x) |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal -2 binary64) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 x) x) |
(fma.f64 y y (*.f64 (neg.f64 x) x)) |
(fma.f64 y y (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 y) x) |
(*.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) y) |
(*.f64 (fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(-.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64))) y) |
y |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) x (neg.f64 x)) y)) |
(*.f64 #s(literal -2 binary64) (/.f64 y x)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) x (neg.f64 x)) y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) x (neg.f64 x)) y)) |
(*.f64 (*.f64 y (/.f64 (/.f64 y x) x)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 y y)) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 y y)) |
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (/.f64 (/.f64 #s(literal 2 binary64) x) y)) (*.f64 y y)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)) y) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)) y) |
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(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (neg.f64 x)) |
x |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(neg.f64 x) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
(/.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal -2 binary64) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) y)) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal -1 binary64)) x) |
(/.f64 (neg.f64 y) x) |
(*.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y) |
(fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (neg.f64 x))) x)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 154 |
| 0 | 50 | 144 |
| 1 | 227 | 140 |
| 2 | 2132 | 140 |
| 0 | 8672 | 138 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
(-.f64 y x) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 x y) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(/.f64 y x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) |
(/.f64 (neg.f64 y) (+.f64 y x)) |
(neg.f64 y) |
| Outputs |
|---|
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Compiled 38 872 to 3 050 computations (92.2% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 525 | 1 | 1 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 526 | 10 | 1 536 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| ✓ | 50.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ▶ | 88.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) |
| ✓ | 50.6% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.4% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ✓ | 50.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | 50.4% | #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
| ✓ | 49.7% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 125 to 91 computations (27.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 0 | 18 | 55 |
| 1 | 29 | 54 |
| 2 | 49 | 54 |
| 3 | 86 | 54 |
| 4 | 209 | 42 |
| 5 | 456 | 42 |
| 6 | 851 | 42 |
| 7 | 1746 | 42 |
| 8 | 2863 | 42 |
| 9 | 3488 | 42 |
| 10 | 3791 | 42 |
| 11 | 3874 | 42 |
| 12 | 3924 | 42 |
| 13 | 4483 | 42 |
| 14 | 4932 | 42 |
| 15 | 5276 | 42 |
| 16 | 5647 | 42 |
| 17 | 5767 | 42 |
| 18 | 5823 | 42 |
| 19 | 5917 | 42 |
| 20 | 5980 | 42 |
| 21 | 6052 | 42 |
| 22 | 6106 | 42 |
| 23 | 6128 | 42 |
| 24 | 6360 | 42 |
| 25 | 6588 | 42 |
| 26 | 6875 | 42 |
| 27 | 7305 | 42 |
| 28 | 7726 | 42 |
| 0 | 8014 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
| Outputs |
|---|
(/.f64 #s(approx (- y x) (-.f64 y x)) (-.f64 (neg.f64 y) x)) |
(/.f64 #s(literal -1 binary64) (+.f64 x y)) |
#s(literal -1 binary64) |
(+.f64 x y) |
y |
x |
#s(approx (- y x) (-.f64 y x)) |
(-.f64 y x) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) | |
| accuracy | 0.02734375 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) | |
| accuracy | 6.904795078058471 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
| 72.0ms | 256× | 0 | valid |
Compiled 96 to 25 computations (74% saved)
ival-add: 39.0ms (80.5% of total)ival-div: 4.0ms (8.3% of total)ival-mult: 3.0ms (6.2% of total)ival-sub: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.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 (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
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#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.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 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) (+.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 y x) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (- 1 (/ x y)) y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x)) |
| 1.0ms | x | @ | -inf | ((* (- 1 (/ x y)) y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x)) |
| 1.0ms | x | @ | inf | ((* (- 1 (/ x y)) y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x)) |
| 1.0ms | y | @ | 0 | ((* (- 1 (/ x y)) y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x)) |
| 1.0ms | y | @ | inf | ((* (- 1 (/ x y)) y) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x) (- y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 990 |
| 1 | 724 | 903 |
| 2 | 1979 | 844 |
| 3 | 7022 | 844 |
| 0 | 8130 | 800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
1 |
(+ 1 (* -2 (/ y x))) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(/ -1 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1) |
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1) |
(/ -1 y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
-1 |
(- (* 2 (/ x y)) 1) |
(- (* x (+ (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (+ (* x (- (* 2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
1 |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
1 |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
| Outputs |
|---|
(neg.f64 x) |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 x) |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(-.f64 (*.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) y) |
y |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64))) y)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)) y) #s(literal 1 binary64)) y) |
y |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
(fma.f64 (/.f64 x y) y y) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
y |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
y |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
(neg.f64 x) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 (/.f64 y x) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) |
x |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(neg.f64 x) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64))) x)) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 2 binary64)))) x)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 1 binary64)) x) |
x |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(fma.f64 (/.f64 y x) x x) |
(neg.f64 x) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
(fma.f64 (/.f64 y x) x (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 0 | 18 | 43 |
| 1 | 71 | 42 |
| 2 | 502 | 42 |
| 0 | 8213 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)) |
| Outputs |
|---|
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Compiled 12 153 to 1 152 computations (90.5% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 1 | 411 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 9 | 9 |
| Total | 411 | 10 | 421 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 88.9% | (/.f64 (neg.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (+.f64 y x)) | |
| ✓ | 50.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
| ✓ | 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
| ✓ | 50.6% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
| ✓ | 51.4% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| ✓ | 50.9% | #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | 50.4% | #s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
| ✓ | 49.7% | #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Compiled 327 to 149 computations (54.4% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 x y) (+.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) (+.f64 y x)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 #s(literal -2 binary64) x) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))) |
(fma.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (neg.f64 y) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
3 calls:
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | x |
| 78.1% | 3 | y |
| 99.3% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(approx (+ (* (/ y x) -2) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64)) |
1 calls:
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 2 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (+.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | y |
| 49.7% | 1 | x |
| 49.7% | 1 | (/.f64 (-.f64 x y) (+.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8651888435163819 | 0.9999232137074199 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8651888435163819 | 0.9999232137074199 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.8651888435163819 | 0.9999232137074199 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -0.8651888435163819 | 0.9999232137074199 |
| 5.0ms | 240× | 0 | valid |
Compiled 280 to 250 computations (10.7% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 1 | 38 | 144 |
| 2 | 41 | 144 |
| 3 | 42 | 144 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (+.f64 x y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 x y)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 x y)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (+.f64 y x)) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (+ x y)) (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (/.f64 #s(approx (- x y) (neg.f64 y)) (+.f64 y x)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) #s(approx (/ (- x y) (+ x y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (+ x y)) #s(literal -1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 462 |
| 1 | 439 | 441 |
| 2 | 1225 | 387 |
| 3 | 4744 | 375 |
| 0 | 8366 | 351 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
Compiled 173 to 69 computations (60.1% saved)
Compiled 324 to 84 computations (74.1% saved)
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