
Time bar (total: 6.4s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 656.0ms | 8 256× | 0 | valid |
ival-sub: 150.0ms (44% of total)ival-div: 111.0ms (32.6% of total)ival-add: 71.0ms (20.8% of total)ival-true: 6.0ms (1.8% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (-.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 |
| 31.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-div: 13.0ms (67.7% of total)ival-sub: 3.0ms (15.6% of total)ival-add: 3.0ms (15.6% 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 | 41 | 37 |
| 2 | 96 | 35 |
| 3 | 249 | 35 |
| 4 | 642 | 35 |
| 5 | 1390 | 35 |
| 6 | 1427 | 35 |
| 7 | 1431 | 35 |
| 8 | 1499 | 35 |
| 9 | 1556 | 35 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 11 | 7 |
| 2 | 16 | 7 |
| 3 | 22 | 7 |
| 4 | 31 | 7 |
| 5 | 54 | 7 |
| 6 | 90 | 7 |
| 7 | 129 | 7 |
| 8 | 213 | 7 |
| 9 | 439 | 7 |
| 10 | 843 | 7 |
| 11 | 970 | 7 |
| 12 | 972 | 7 |
| 13 | 1010 | 7 |
| 14 | 1039 | 7 |
| 0 | 1039 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 y x) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.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 | 11 | 15 |
| 2 | 16 | 15 |
| 3 | 22 | 15 |
| 4 | 31 | 15 |
| 5 | 54 | 15 |
| 6 | 90 | 15 |
| 7 | 129 | 15 |
| 8 | 213 | 15 |
| 9 | 439 | 15 |
| 10 | 843 | 15 |
| 11 | 970 | 15 |
| 12 | 972 | 15 |
| 13 | 1010 | 15 |
| 14 | 1039 | 15 |
| 0 | 1039 | 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 y x) (-.f64 x y)) |
(+.f64 y x) |
x |
y |
(-.f64 x y) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.037441259768442016 | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-div: 2.0ms (44.1% of total)ival-sub: 1.0ms (22% of total)ival-add: 1.0ms (22% 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)) |
| 0.0ms | y | @ | 0 | ((/ (+ x y) (- x y)) (+ x y) (- x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 458 |
| 1 | 432 | 439 |
| 2 | 1258 | 395 |
| 3 | 5371 | 377 |
| 0 | 8479 | 347 |
| 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 y) |
(+ x y) |
(+ x y) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
-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 |
(- (* -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 |
(- (* -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 |
(- (+ 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 (/ 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))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #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 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x 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)) |
(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))) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x 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)) |
(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))) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x 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)) |
(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 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #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 #s(literal 2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64))) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #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 #s(literal 2 binary64) y) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 36 | 13 |
| 2 | 275 | 13 |
| 3 | 4496 | 13 |
| 0 | 8990 | 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 12 210 to 1 306 computations (89.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 516 | 10 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 516 | 11 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) | |
| ✓ | 99.9% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 53.9% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| 55.4% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) | |
| 37.9% | (/.f64 (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x))) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ▶ | 46.8% | #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))) |
| ▶ | 47.7% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| 46.5% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) | |
| ▶ | 53.1% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 279 to 177 computations (36.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (+.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 131 |
| 0 | 38 | 131 |
| 1 | 66 | 131 |
| 2 | 129 | 129 |
| 3 | 204 | 129 |
| 4 | 317 | 129 |
| 5 | 624 | 129 |
| 6 | 1083 | 129 |
| 7 | 1953 | 129 |
| 8 | 3428 | 129 |
| 9 | 4304 | 129 |
| 10 | 4784 | 129 |
| 11 | 4851 | 129 |
| 12 | 4860 | 129 |
| 13 | 4865 | 129 |
| 14 | 5251 | 129 |
| 15 | 5443 | 129 |
| 16 | 5449 | 129 |
| 17 | 5451 | 129 |
| 18 | 5453 | 129 |
| 19 | 5457 | 129 |
| 20 | 5461 | 129 |
| 21 | 5461 | 129 |
| 22 | 5469 | 129 |
| 23 | 5517 | 129 |
| 24 | 5641 | 129 |
| 25 | 5641 | 129 |
| 0 | 5641 | 129 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(+.f64 y x) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
(+.f64 x y) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#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 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 y x) (-.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
x |
y |
(+.f64 y x) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) |
(+.f64 y x) |
x |
y |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.06640625 | (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 | 34.03153593628227 | #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 #s(literal 2 binary64) x) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| accuracy | 33.44522017529291 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.037441259768442016 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 29.391588018609703 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 30.043524178294426 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x y) (+.f64 y x)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| 93.0ms | 256× | 0 | valid |
Compiled 241 to 45 computations (81.3% saved)
ival-sub: 33.0ms (64.7% of total)ival-div: 8.0ms (15.7% of total)ival-add: 5.0ms (9.8% of total)ival-mult: 3.0ms (5.9% of total)ival-neg: 1.0ms (2% 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 x y) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
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| Outputs |
|---|
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | inf | ((/ 1 (/ (- x y) (+ 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)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ y x) (+ (* (/ 2 x) y) 2)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ (- x y) (+ 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)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ y x) (+ (* (/ 2 x) y) 2)) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (- x y) (+ 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)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ y x) (+ (* (/ 2 x) y) 2)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ (- x y) (+ 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)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ y x) (+ (* (/ 2 x) y) 2)) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ (- x y) (+ 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)) (+ (* (/ 2 x) y) 1) (/ 2 x) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ y x) (+ (* (/ 2 x) y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 2934 |
| 1 | 821 | 2702 |
| 2 | 2382 | 2453 |
| 3 | 7294 | 2453 |
| 0 | 8166 | 2226 |
| 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 (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -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 (* 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 y) |
(* -1 y) |
(* -1 y) |
(* -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 (* 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))))) |
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 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
-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)))) |
-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 (/ 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)))) |
-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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-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)))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
-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)))) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2))))) |
(* (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 |
(- (* -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) |
-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 |
(- (* -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) |
-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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
-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) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
-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) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2))))) |
(* (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) |
(- (* 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) |
-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) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ (+ x (* 2 y)) x) |
(/ (+ x (* 2 y)) x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 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 (/ (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 |
(- (+ 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))))) |
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 (/ 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))))) |
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 (/ 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))))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
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))))) |
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 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y 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))) |
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))) |
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))) |
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 (/ 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))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 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))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #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 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 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 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#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) y #s(literal 1 binary64)) |
(fma.f64 (/.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 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 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))) |
#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) |
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 (*.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))) |
#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 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 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)) |
(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))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #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) y #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 (*.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))) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 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)) |
(-.f64 (/.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) #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)) |
(-.f64 (/.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)))) y)) y) #s(literal 1 binary64)) |
(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)) |
(-.f64 (/.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) #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)) |
(-.f64 (/.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) #s(literal 1 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 y) |
(neg.f64 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 (/.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) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #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) y #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)) |
(-.f64 (/.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) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) x) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 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 #s(literal -2 binary64) (*.f64 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 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) 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 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 (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)) |
#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 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
y |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 y) |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x 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)) |
(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 (/.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 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) 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 (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 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) y) x) x) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (fma.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64) (*.f64 x x)) (*.f64 x x)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #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 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 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 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#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) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #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 y x) |
(+.f64 y x) |
(+.f64 y x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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 y x) |
(+.f64 y x) |
(+.f64 y x) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#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) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #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)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
(/.f64 y x) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 114 |
| 0 | 38 | 112 |
| 1 | 168 | 112 |
| 2 | 1313 | 112 |
| 0 | 8259 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(-.f64 x y) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
(+.f64 x y) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#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)) |
| Outputs |
|---|
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 31 813 to 2 882 computations (90.9% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 213 | 3 | 1 216 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 215 | 12 | 1 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
| ✓ | 99.9% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 53.9% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ▶ | 55.4% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| 56.3% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))) | |
| ▶ | 48.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
| ✓ | 46.8% | #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))) |
| ✓ | 47.7% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ▶ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ▶ | 46.5% | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 266 to 172 computations (35.3% 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 | 1024 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) | |
| cost-diff | 6848 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 181 |
| 0 | 52 | 170 |
| 1 | 99 | 170 |
| 2 | 216 | 164 |
| 3 | 403 | 164 |
| 4 | 1386 | 164 |
| 5 | 6276 | 164 |
| 0 | 8158 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ 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)) |
#s(literal -2 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(/.f64 (+.f64 y x) (-.f64 x y)) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(/.f64 y (-.f64 x y)) |
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
x |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (+ y x)) (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)) |
#s(literal -2 binary64) |
(/.f64 y x) |
y |
x |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(*.f64 (-.f64 y x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(*.f64 (-.f64 y x) (-.f64 x y)) |
(-.f64 x y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 y x) (-.f64 x y)) | |
| accuracy | 28.001016559068635 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) | |
| accuracy | 33.426538806902236 | #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) | |
| accuracy | 29.163359046616385 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| accuracy | 33.38556061413864 | #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) | |
| accuracy | 34.03153593628227 | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01953125 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) | |
| accuracy | 0.19921875 | (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
| 60.0ms | 256× | 0 | valid |
Compiled 328 to 69 computations (79% saved)
ival-add: 14.0ms (31.1% of total)ival-mult: 12.0ms (26.6% of total)ival-div: 11.0ms (24.4% of total)ival-pow: 4.0ms (8.9% of total)ival-sub: 3.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.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 (*.f64 (-.f64 y x) (-.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<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 #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 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 x) y) 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 x) y) 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 x) y) 2)) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 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 #s(literal -2 binary64) y) x #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 #s(literal -2 binary64) y) x #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 #s(literal -2 binary64) y) x #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 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((+ (* (pow (- x y) -1) x) (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1) (- x y) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (+ (* -2 (/ y x)) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- y x) (- x y))) |
| 3.0ms | x | @ | 0 | ((+ (* (pow (- x y) -1) x) (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1) (- x y) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (+ (* -2 (/ y x)) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- y x) (- x y))) |
| 3.0ms | x | @ | inf | ((+ (* (pow (- x y) -1) x) (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1) (- x y) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (+ (* -2 (/ y x)) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- y x) (- x y))) |
| 2.0ms | y | @ | -inf | ((+ (* (pow (- x y) -1) x) (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1) (- x y) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (+ (* -2 (/ y x)) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- y x) (- x y))) |
| 2.0ms | y | @ | inf | ((+ (* (pow (- x y) -1) x) (* (pow (- x y) -1) y)) (* (pow (- x y) -1) y) (pow (- x y) -1) (- x y) (/ (+ x y) (- x y)) (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y) (/ 1 (/ (- x y) (+ y x))) (/ (- x y) (+ y x)) (+ (* -2 (/ y x)) 1) (/ y x) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (- y x) (* (- y x) (- x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 546 | 4248 |
| 1 | 1738 | 3777 |
| 2 | 5050 | 3626 |
| 0 | 8146 | 3314 |
| 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))))) |
(/ y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(/ 1 x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
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 (+ (* 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))))) |
(* -2 (/ x y)) |
(/ (+ (* -2 x) (* -1 y)) y) |
(/ (+ (* -2 x) (* -1 y)) y) |
(/ (+ (* -2 x) (* -1 y)) y) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
(/ -2 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))))) |
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 (+ (* 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))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* 2 (* x y))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
-1 |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(/ -1 y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
-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)))) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2))))) |
(* (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 |
(- (* -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)))) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
-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)))) |
-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) |
-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)))) |
(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))))) |
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 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
-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) |
(* 2 (/ (pow y 2) (pow x 2))) |
(* (pow y 2) (+ (* 2 (/ 1 (* x y))) (* 2 (/ 1 (pow x 2))))) |
(* (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 |
(- (* -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) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
-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) |
-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) |
-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) |
(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)))) |
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 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) 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 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ -1 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 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) |
(* 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 |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ 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 |
(- (* 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) |
-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)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
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))))) |
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))))) |
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))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) |
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))))) |
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))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
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))))) |
(* -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)) |
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 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
1 |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
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))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) x))) x))) |
(+ 1 (* -1 (/ (+ (* -2 y) (* -2 (/ (pow y 2) 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))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
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))) |
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 (/ 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))) |
(* -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)) |
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 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #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)) |
(/.f64 y x) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(+.f64 (fma.f64 (/.f64 (/.f64 y x) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 y x) x)) y (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y x) x)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) |
x |
(-.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 (fma.f64 y (/.f64 y x) y) x) #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 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #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)) |
(*.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 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #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 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y (/.f64 #s(literal -2 binary64) x)) y #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 3 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)) |
(/.f64 y 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 (fma.f64 y (/.f64 y x) y) x) #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)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
x |
(+.f64 y x) |
(+.f64 y x) |
(+.f64 y x) |
(neg.f64 x) |
(-.f64 y x) |
(-.f64 y x) |
(-.f64 y x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x) |
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) |
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) |
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(neg.f64 y) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 y x) x) y) #s(literal 2 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y) y) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y) y (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) y) y (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (*.f64 y y) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.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)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -2 binary64) y) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.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 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal -1 binary64)) |
(+.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 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 #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)) |
(/.f64 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)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))) |
(*.f64 y y) |
(*.f64 y y) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) 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) |
(*.f64 (neg.f64 y) y) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal -1 binary64)) y) y) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal -1 binary64))) (*.f64 y y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal -1 binary64))) (*.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 (fma.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) x) y)) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) x (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) |
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) |
(neg.f64 y) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
#s(literal -1 binary64) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
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#s(literal -1 binary64) |
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#s(literal 1 binary64) |
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(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) 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 #s(literal -2 binary64) (/.f64 y x)) y (*.f64 #s(literal 2 binary64) y)) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x)) 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)) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 y 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 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x)) x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64)) x) 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) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 y (/.f64 y x))) x)) x) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 y (/.f64 y x))) x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 164 |
| 0 | 52 | 153 |
| 1 | 241 | 147 |
| 2 | 2010 | 147 |
| 0 | 9011 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (+ 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)) |
(/.f64 y x) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (-.f64 y x) (-.f64 x y)) |
| Outputs |
|---|
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Compiled 31 701 to 2 565 computations (91.9% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 365 | 3 | 1 368 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 368 | 12 | 1 380 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) |
| ✓ | 99.9% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 53.9% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ▶ | 55.5% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ✓ | 48.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
| ▶ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ✓ | 46.8% | #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))) |
| ✓ | 47.7% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 46.5% | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 171 to 114 computations (33.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| cost-diff | 6848 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) | |
| cost-diff | 640 | (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) | |
| cost-diff | 0 | (/.f64 x (-.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 y (-.f64 x y)) | |
| cost-diff | 896 | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
Useful iterations: 12 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 143 |
| 0 | 40 | 142 |
| 1 | 65 | 142 |
| 2 | 126 | 142 |
| 3 | 297 | 142 |
| 4 | 868 | 142 |
| 5 | 1875 | 130 |
| 6 | 3705 | 126 |
| 7 | 4902 | 126 |
| 8 | 5484 | 126 |
| 9 | 5696 | 126 |
| 10 | 5798 | 126 |
| 11 | 5866 | 126 |
| 12 | 5877 | 122 |
| 13 | 5917 | 122 |
| 14 | 6087 | 122 |
| 15 | 6493 | 122 |
| 16 | 6697 | 122 |
| 17 | 7033 | 122 |
| 18 | 7069 | 122 |
| 19 | 7083 | 122 |
| 20 | 7097 | 122 |
| 21 | 7900 | 122 |
| 0 | 8074 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(/.f64 x (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
#s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) |
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) |
(neg.f64 x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(fma.f64 #s(literal 2 binary64) x (neg.f64 y)) |
#s(literal 2 binary64) |
(neg.f64 y) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(/.f64 y (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(/.f64 x (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) #s(approx (* (- y x) (- x y)) (*.f64 (-.f64 y x) (-.f64 x y)))) |
(*.f64 (-.f64 y x) (+.f64 x y)) |
(+.f64 x y) |
y |
x |
(-.f64 y x) |
#s(approx (* (- y x) (- x y)) (*.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (-.f64 y x) (-.f64 x y)) |
(neg.f64 x) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
(fma.f64 #s(literal 2 binary64) x (neg.f64 y)) |
#s(literal 2 binary64) |
(neg.f64 y) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(-.f64 x y) |
x |
y |
#s(literal -1 binary64) |
(/.f64 y (-.f64 x y)) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01953125 | (pow.f64 (-.f64 x y) #s(literal -1 binary64)) | |
| accuracy | 0.0234375 | (/.f64 y (-.f64 x y)) | |
| accuracy | 0.0859375 | (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) | |
| accuracy | 0 | #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) | |
| accuracy | 1.249986238027801 | (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) | |
| accuracy | 28.001016559068635 | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01953125 | (/.f64 x (-.f64 x y)) | |
| accuracy | 0.0234375 | (/.f64 y (-.f64 x y)) | |
| accuracy | 0.04296875 | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| 148.0ms | 256× | 0 | valid |
Compiled 269 to 48 computations (82.2% saved)
ival-add: 110.0ms (81.4% of total)ival-mult: 8.0ms (5.9% of total)ival-pow: 6.0ms (4.4% of total)ival-div: 5.0ms (3.7% of total)ival-sub: 3.0ms (2.2% of total)ival-neg: 2.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) #<representation binary64>) () ()) |
#s(alt #<batchref> (patch #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 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 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (+.f64 y x) (-.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 (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 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 (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (+ (* (neg x) x) (* (+ (* 2 x) (neg y)) y)) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (+ (* (pow (- x y) -1) x) (/ y (- x y))) (pow (- x y) -1) (* (+ (* 2 x) (neg y)) y) (* (- y x) (- x y))) |
| 1.0ms | y | @ | inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (+ (* (neg x) x) (* (+ (* 2 x) (neg y)) y)) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (+ (* (pow (- x y) -1) x) (/ y (- x y))) (pow (- x y) -1) (* (+ (* 2 x) (neg y)) y) (* (- y x) (- x y))) |
| 1.0ms | x | @ | -inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (+ (* (neg x) x) (* (+ (* 2 x) (neg y)) y)) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (+ (* (pow (- x y) -1) x) (/ y (- x y))) (pow (- x y) -1) (* (+ (* 2 x) (neg y)) y) (* (- y x) (- x y))) |
| 1.0ms | y | @ | 0 | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (+ (* (neg x) x) (* (+ (* 2 x) (neg y)) y)) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (+ (* (pow (- x y) -1) x) (/ y (- x y))) (pow (- x y) -1) (* (+ (* 2 x) (neg y)) y) (* (- y x) (- x y))) |
| 1.0ms | x | @ | inf | ((+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (+ (* (neg x) x) (* (+ (* 2 x) (neg y)) y)) (/ (* (+ y x) (- y x)) (* (- y x) (- x y))) (* (+ y x) (- y x)) (+ y x) (+ (* (pow (- x y) -1) x) (/ y (- x y))) (pow (- x y) -1) (* (+ (* 2 x) (neg y)) y) (* (- y x) (- x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 473 | 3177 |
| 1 | 1507 | 2907 |
| 2 | 4270 | 2725 |
| 0 | 8571 | 2540 |
| 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))))) |
(/ y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (/ y x)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* 2 (* x y))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 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 (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))))) |
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 x) |
(+ (/ 1 x) (/ y (pow x 2))) |
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)) |
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(* 2 (* x y)) |
(* y (+ (* -1 y) (* 2 x))) |
(* y (+ (* -1 y) (* 2 x))) |
(* y (+ (* -1 y) (* 2 x))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* 2 (* x y))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
(+ (* -1 (pow x 2)) (* y (+ (* -1 y) (* 2 x)))) |
-1 |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) |
(- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
-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)))) |
(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))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
-1 |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) |
(- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(/ -1 y) |
(/ (- (* -1 (/ x y)) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y) |
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (* 2 (/ x y))) 1)) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) 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 (/ x y)) |
(* -1 (/ (+ x (/ (pow x 2) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (pow x 2)) y))) y)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) 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) |
(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)))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) (pow x 2)) y)) (* 2 x)) y)) 1) |
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (* -1 (pow x 3))) y)) (* -1 (pow x 2))) (pow x 2)) y)) (* 2 x)) y)) 1) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ x y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 2 (/ x y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -2 x) (/ (pow x 2) y)) 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 |
(- (* -1 (/ x y)) 1) |
(- (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) 1) |
(- (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 (/ x y)) |
(* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) |
(* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 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) |
(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)) |
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 y) |
(- (* -1 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 2 (* x y))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
(+ (* -1 (pow y 2)) (* x (+ (* -1 x) (* 2 y)))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(/ y x) |
(/ (+ y (/ (pow y 2) x)) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 4) (pow x 3))) (+ (* -1 (/ (pow y 2) x)) (* -1 (/ (pow y 3) (pow x 2))))) x) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
1 |
(+ 1 (/ y x)) |
(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
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))))) |
(* -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)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
1 |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ y x))) (* -1 (/ y x))) |
(- (+ 1 (+ (* 2 (/ (pow y 3) (pow x 3))) (/ y x))) (+ (* -2 (/ (pow y 2) (pow x 2))) (* -1 (/ y x)))) |
(/ 1 x) |
(/ (+ 1 (/ y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x) |
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x) |
(* 2 (* x y)) |
(* x (+ (* -1 (/ (pow y 2) x)) (* 2 y))) |
(* x (+ (* -1 (/ (pow y 2) x)) (* 2 y))) |
(* x (+ (* -1 (/ (pow y 2) x)) (* 2 y))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (pow y 2) (pow x 2))) (* 2 (/ y x))) 1)) |
1 |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
1 |
(+ 1 (/ y x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
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))) |
(* -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)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
1 |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) y) x))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ y x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x)) |
(* 2 (* x y)) |
(* -1 (* x (+ (* -2 y) (/ (pow y 2) x)))) |
(* -1 (* x (+ (* -2 y) (/ (pow y 2) x)))) |
(* -1 (* x (+ (* -2 y) (/ (pow y 2) x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ y x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ (* -2 y) (/ (pow y 2) x)) x)) 1)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))) #s(literal 1 binary64)) |
(/.f64 y x) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) |
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) y) |
x |
(-.f64 x y) |
(-.f64 x y) |
(-.f64 x y) |
#s(literal 1 binary64) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x (*.f64 (neg.f64 y) y)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x (*.f64 (neg.f64 y) y)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (+.f64 x y) (-.f64 y x)) |
(*.f64 (+.f64 x y) (-.f64 y x)) |
x |
(+.f64 x y) |
(+.f64 x y) |
(+.f64 x y) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) (*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) y)) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
(*.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 (neg.f64 x) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x (*.f64 (neg.f64 y) y)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) y (neg.f64 x)) x (*.f64 (neg.f64 y) y)) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
#s(literal -1 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) |
(-.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
(neg.f64 y) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(fma.f64 (/.f64 x y) y (neg.f64 y)) |
(/.f64 (neg.f64 x) y) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) x) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x)) y) |
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(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) x)) x)) x)) |
(/.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)) x) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 y (/.f64 (neg.f64 y) x))) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 y (/.f64 (neg.f64 y) x))) x) |
(*.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 y (/.f64 (neg.f64 y) x))) x) |
(*.f64 (neg.f64 x) x) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) x) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 y (/.f64 y x))) x)) x) x) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (*.f64 y (/.f64 y x))) x)) x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 115 |
| 0 | 40 | 114 |
| 1 | 167 | 110 |
| 2 | 1532 | 110 |
| 0 | 8355 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(/.f64 x (-.f64 x y)) |
(fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) |
(pow.f64 (-.f64 x y) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y) |
#s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y))) |
| Outputs |
|---|
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Compiled 41 733 to 3 053 computations (92.7% saved)
12 alts after pruning (1 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 470 | 1 | 1 471 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 9 | 9 |
| Total | 1 471 | 12 | 1 483 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x (/.f64 y (-.f64 x y))) | |
| ✓ | 99.9% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 53.9% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 55.5% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ✓ | 48.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
| ✓ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ✓ | 46.8% | #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))) |
| ✓ | 47.7% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 54.4% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 46.5% | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ y x) (+ (* (/ 2 x) y) 2)) 1) #s(literal 1 binary64))) |
| ✓ | 53.1% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 432 to 188 computations (56.5% 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 x) y) 2)) 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.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))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) x (/.f64 y (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (* (- y x) (- x y)) (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 y)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x))) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (/.f64 y (-.f64 x y))) |
(fma.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) x (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) y)) |
| Outputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
3 calls:
| 23.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.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 x) y) 2)) 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x y) (+ y x)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 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 x) y) 2)) 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 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 #s(literal 2 binary64) x) y #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 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
3 calls:
| 6.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 3 | x |
| 82.0% | 3 | y |
| 99.1% | 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 x) y) 2)) 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #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 |
|---|---|---|
| 98.6% | 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 x) y) 2)) 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 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 x) y) 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 |
|---|---|---|
| 98.0% | 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 |
|---|---|---|
| 53.1% | 1 | x |
| 53.1% | 1 | y |
| 53.1% | 1 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999968020694583 | 0.9981971363403915 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999968020694583 | 0.9981971363403915 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999968020694583 | 0.9981971363403915 |
Compiled 10 to 10 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -0.9999968020694583 | 0.9981971363403915 |
| 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 | 34 | 155 |
| 1 | 42 | 155 |
| 2 | 45 | 155 |
| 3 | 46 | 155 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.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 #s(literal 2 binary64) x) y #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 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 (-.f64 x y)) (/.f64 y (-.f64 x y))) |
(/.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 #s(literal 2 binary64) x) y #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 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 | 140 | 458 |
| 1 | 432 | 439 |
| 2 | 1258 | 395 |
| 3 | 5371 | 377 |
| 0 | 8479 | 347 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 36 | 13 |
| 2 | 275 | 13 |
| 3 | 4496 | 13 |
| 0 | 8990 | 13 |
| 0 | 35 | 164 |
| 0 | 52 | 153 |
| 1 | 241 | 147 |
| 2 | 2010 | 147 |
| 0 | 9011 | 143 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 204 to 79 computations (61.3% saved)
Compiled 350 to 94 computations (73.1% saved)
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