
Time bar (total: 5.0s)
| 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)
| 618.0ms | 8 256× | 0 | valid |
ival-add: 116.0ms (53.6% of total)ival-div: 52.0ms (24% of total)ival-sub: 38.0ms (17.6% of total)ival-true: 6.0ms (2.8% of total)ival-assert: 3.0ms (1.4% 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 |
| 44.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-sub: 3.0ms (32.1% of total)ival-div: 3.0ms (32.1% of total)ival-add: 3.0ms (32.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 528× | times-frac |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 250× | div-sub |
| 216× | times-frac |
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 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 216× | times-frac |
| 200× | div-sub |
| 176× | lower-*.f64 |
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 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(+.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 | 0.01953125 | (/.f64 (+.f64 x y) (-.f64 x y)) |
| 12.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-div: 3.0ms (43.7% of total)ival-add: 2.0ms (29.1% of total)ival-sub: 1.0ms (14.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- x (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ x y)) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 x y)) (patch (/.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (+ x y) (- x 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 |
| 11 976× | lower-fma.f64 |
| 11 976× | lower-fma.f32 |
| 3 278× | lower-*.f64 |
| 3 278× | lower-*.f32 |
| 1 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 458 |
| 1 | 432 | 439 |
| 2 | 1258 | 395 |
| 3 | 5371 | 377 |
| 0 | 8476 | 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 |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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 |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x 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 |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(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 |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(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 |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(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 |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 (/.f64 y x) y y)) x)) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
| 4 620× | lower-*.f64 |
| 4 620× | lower-*.f32 |
| 3 766× | lower-fma.f64 |
| 3 766× | lower-fma.f32 |
| 3 010× | lower-/.f32 |
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 |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
Compiled 11 925 to 1 303 computations (89.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 7 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 519 | 8 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ▶ | 51.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| 99.9% | (-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y))) | |
| 49.3% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) | |
| ▶ | 52.5% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ▶ | 48.2% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ▶ | 51.0% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 121 to 95 computations (21.5% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (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 | #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))) |
| 960× | lower-fma.f32 |
| 958× | lower-fma.f64 |
| 640× | lower-*.f64 |
| 640× | lower-*.f32 |
| 518× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 95 |
| 0 | 31 | 95 |
| 1 | 48 | 95 |
| 2 | 70 | 93 |
| 3 | 101 | 93 |
| 4 | 189 | 93 |
| 5 | 356 | 93 |
| 6 | 592 | 93 |
| 7 | 983 | 93 |
| 8 | 1448 | 93 |
| 9 | 1838 | 93 |
| 10 | 2079 | 93 |
| 11 | 2189 | 93 |
| 12 | 2327 | 93 |
| 13 | 2334 | 93 |
| 14 | 2334 | 93 |
| 0 | 2334 | 93 |
| 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) |
#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) 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) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
(/.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) |
#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 (+.f64 y x) #s(approx (- x y) (neg.f64 y))) |
(+.f64 x 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) 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) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -2 binary64) y) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) | |
| accuracy | 30.368367307660424 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) | |
| accuracy | 30.839286868499816 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 33.14893827773205 | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) | |
| accuracy | 31.355963644769965 | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) | |
| accuracy | 0.02734375 | (/.f64 (-.f64 x y) (+.f64 y x)) |
| 48.0ms | 256× | 0 | valid |
Compiled 81 to 17 computations (79% saved)
ival-div: 7.0ms (46.3% of total)ival-add: 3.0ms (19.8% of total)ival-sub: 2.0ms (13.2% of total)ival-mult: 2.0ms (13.2% of total)ival-neg: 1.0ms (6.6% 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) y) (patch (/.f64 #s(literal -2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 x) (* -1 y)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x y)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* 2 (/ 1 y)) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (+.f64 y x)) (patch (/.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) (patch #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) (patch (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) (patch (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y)) |
| 1.0ms | y | @ | 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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y)) |
| 1.0ms | 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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y)) |
| 1.0ms | 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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y)) |
| 1.0ms | 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)) (+ x y) (- x y) (neg y) (/ (+ x y) (- x y)) (+ (* (/ -2 y) x) -1) (/ -2 y)) |
| 1× | egg-herbie |
| 15 340× | lower-fma.f64 |
| 15 340× | lower-fma.f32 |
| 2 970× | lower-*.f64 |
| 2 970× | lower-*.f32 |
| 2 684× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2428 |
| 1 | 734 | 2214 |
| 2 | 2231 | 2005 |
| 3 | 6714 | 2005 |
| 0 | 8111 | 1794 |
| 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))))) |
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))))) |
(* -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 (/ 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)))) |
-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)))) |
-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) |
(* -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) |
-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) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(/ -2 y) |
(/ -2 y) |
(/ -2 y) |
(/ -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) |
-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) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 1) |
(- (* -2 (/ x y)) 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 |
(- (+ 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))))) |
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))))) |
(* -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 (* -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))) |
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))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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 |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 1 binary64)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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)) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (* -1 y)) y) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/ (+ (* -2 x) (* -1 y)) y) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/ (+ (* -2 x) (* -1 y)) y) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ x y)) (+ 1 (* -1 (/ x y)))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (+ (/ x y) (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (+ 1 (+ (* -1 (/ x y)) (/ (* x (- x (* -1 x))) (pow y 2))))) |
(+.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)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
(/ -2 y) |
(/.f64 #s(literal -2 binary64) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(-.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)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (* x (- (* -1 x) x)) y))) x) y)) 1) |
(fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 2 binary64)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (* (pow x 2) (- (* -1 x) x)) y)) (* -1 (* x (- (* -1 x) x)))) y))) x) y)) 1) |
(-.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal -2 binary64)))) y)) y) #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
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(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y (/.f64 y x) y)) x)) x) #s(literal 1 binary64)) |
(* -2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -2 binary64)) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(* -1 (* x (+ (/ 1 x) (* 2 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
| 5 350× | lower-fma.f32 |
| 5 348× | lower-fma.f64 |
| 4 906× | lower-*.f64 |
| 4 906× | lower-*.f32 |
| 4 118× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 84 |
| 0 | 31 | 82 |
| 1 | 123 | 82 |
| 2 | 844 | 82 |
| 0 | 8722 | 82 |
| 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)) |
#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) 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) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (-.f64 y x))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x y) (-.f64 y x))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 (+.f64 y x) (-.f64 y x))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (-.f64 x y)))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 y x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 x y)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(*.f64 (-.f64 (neg.f64 y) x) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (neg.f64 y) x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (-.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 x y))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) (-.f64 x y)) |
(/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal -2 binary64) y)) (*.f64 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 #s(literal 2 binary64) y) (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) y) x)) |
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)) |
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 2 binary64) (neg.f64 y)) |
(/.f64 #s(literal -2 binary64) y) |
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 #s(literal 2 binary64) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
Compiled 25 729 to 2 884 computations (88.8% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 279 | 2 | 1 281 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 280 | 9 | 1 289 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 51.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
| ▶ | 100.0% | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
| ▶ | 49.3% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 48.2% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 51.0% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 63 to 55 computations (12.7% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) | |
| 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))) | |
| 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))) |
| 736× | lower-fma.f32 |
| 734× | lower-fma.f64 |
| 480× | lower-*.f32 |
| 478× | lower-*.f64 |
| 364× | times-frac |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 88 |
| 0 | 32 | 88 |
| 1 | 49 | 87 |
| 2 | 81 | 86 |
| 3 | 144 | 86 |
| 4 | 287 | 78 |
| 5 | 696 | 78 |
| 6 | 1229 | 78 |
| 7 | 1468 | 78 |
| 8 | 1680 | 78 |
| 9 | 1707 | 78 |
| 10 | 1729 | 78 |
| 11 | 1741 | 78 |
| 0 | 1741 | 78 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(+.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
| Outputs |
|---|
#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) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(/.f64 y (-.f64 x y)) |
y |
(-.f64 x y) |
x |
(/.f64 x (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 (-.f64 x y) (+.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal -1 binary64) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) | |
| accuracy | 0.01953125 | (/.f64 #s(literal -1 binary64) (+.f64 y x)) | |
| accuracy | 0.154628759768442 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 x y)) | |
| accuracy | 0.015625 | (/.f64 y (-.f64 x y)) | |
| accuracy | 0.03515625 | (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) | |
| accuracy | 32.41976407282409 | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| 46.0ms | 256× | 0 | valid |
Compiled 84 to 21 computations (75% saved)
ival-div: 16.0ms (51.7% of total)ival-add: 8.0ms (25.9% of total)ival-mult: 3.0ms (9.7% of total)ival-sub: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ 1 x) (/ y (pow x 2)))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))) (taylor 0 y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ y (pow x 2)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) (patch #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -2 (/ (pow x 3) (pow y 3))) (* -1 (/ x y))) (+ 1 (+ (* 2 (/ (pow x 2) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) (patch (+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) 1) (taylor inf y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 y (-.f64 x y)) (patch (/.f64 y (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 (/ (pow x 2) y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ (pow x 3) (pow y 2)))) (/ (pow x 2) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ (pow x 4) (pow y 3)))) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (+ (* -1 (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (* -1 (/ (- x (* -1 x)) y)))) 1) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x)) |
| 2.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x)) |
| 2.0ms | y | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x)) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x)) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (/ 2 x) (+ (/ y (- x y)) (/ x (- x y))) (/ y (- x y)) (- x y) (/ x (- x y)) (/ 1 (* (/ -1 (+ y x)) (- y x))) (* (/ -1 (+ y x)) (- y x)) (/ -1 (+ y x)) (+ y x)) |
| 1× | egg-herbie |
| 12 220× | lower-fma.f64 |
| 12 220× | lower-fma.f32 |
| 3 700× | lower-*.f64 |
| 3 700× | lower-*.f32 |
| 2 266× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 2668 |
| 1 | 1675 | 2403 |
| 2 | 4888 | 2257 |
| 0 | 8322 | 2068 |
| 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 (* 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))))) |
(/ 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 |
(+ 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 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (* -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))) |
(- (+ (* -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 |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (* -1 (/ (- x (* -1 x)) y))) 1) |
(- (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (+ (* -1 (/ (* (pow x 2) (- x (* -1 x))) (pow y 3))) (* -1 (/ (- x (* -1 x)) y)))) 1) |
-1 |
(- (* -1 (/ (- (* -1 x) x) y)) 1) |
(- (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2))) 1) |
(- (+ (* -1 (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ (* -1 (/ (- (* -1 x) x) y)) (/ (* x (- (* -1 x) x)) (pow y 2)))) 1) |
(/ -1 y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
-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 |
(- (* -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 |
(- (* -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 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
-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) |
-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 |
(- (* -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 (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
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 (+ (* 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 |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (* -1 (/ (- (* -1 y) y) x)))) |
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (+ (* -1 (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3))) (* -1 (/ (- (* -1 y) y) x))))) |
1 |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
1 |
(- (+ 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 (* -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 |
(- (+ 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 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (/ 1 x) (/ y (pow x 2)))) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))) |
(+.f64 (fma.f64 (/.f64 (/.f64 y x) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x)) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 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)) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (/ 1 x) (/ y (pow x 2))))) |
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 y x) x) y (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ y x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(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)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 x y) (/.f64 #s(literal -2 binary64) y)) x #s(literal -1 binary64))) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
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(- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) |
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) |
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (* -1 (/ (- (* -1 y) y) x)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (- (* -1 y) y)) (pow x 2))) (+ (* -1 (/ (* (pow y 2) (- (* -1 y) y)) (pow x 3))) (* -1 (/ (- (* -1 y) y) x))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- y (* -1 y)) x))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2)))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* (pow y 2) (- y (* -1 y))) (pow x 3))) (+ (* -1 (/ (- y (* -1 y)) x)) (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (/ y x) 1) x) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 y x) (neg.f64 y)) x)) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (pow y 2) (* -1 (pow y 2))) x))) y) x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow y 3)) (pow y 3)) x)) (pow y 2)) (* -1 (pow y 2))) x))) 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)) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)) |
(/.f64 (fma.f64 y (/.f64 y x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))) x)) |
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (* -1 (pow y 3))) x)) (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x) y) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y x)) |
(+.f64 (/.f64 y x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) |
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) |
(+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) 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)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ y x))) (/ y x)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (/ (* y (- (* -1 y) y)) x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) y (*.f64 y #s(literal 2 binary64))) x)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 y) y)) (* -1 (/ (+ (* -1 (* y (- (* -1 y) y))) (/ (* (pow y 2) (- (* -1 y) y)) x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) (/.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)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x)) x)) x) #s(literal -1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
| 5 638× | lower-*.f32 |
| 5 636× | lower-*.f64 |
| 4 972× | lower-/.f32 |
| 4 962× | lower-/.f64 |
| 3 720× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 75 |
| 0 | 32 | 75 |
| 1 | 147 | 67 |
| 2 | 1326 | 67 |
| 0 | 8252 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 y (-.f64 x y)) |
(-.f64 x y) |
(/.f64 x (-.f64 x y)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(+.f64 y x) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 x y)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (/.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x))) |
(pow.f64 (/.f64 (+.f64 y x) (neg.f64 (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) (*.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (+.f64 y x)) (fma.f64 y y (*.f64 x (+.f64 y x))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 y x)) (*.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 y x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x)) |
(/.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 y x) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (neg.f64 (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (neg.f64 (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (+.f64 y x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (+.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 y (neg.f64 (+.f64 y x))) (/.f64 x (neg.f64 (+.f64 y x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (-.f64 y x)) (+.f64 y x))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 y x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 y x)))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y x))) |
(pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 y x)))) (/.f64 (-.f64 x y) (-.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x)))) (/.f64 (-.f64 y x) (-.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 x y)))) (/.f64 (-.f64 y x) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 x y) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 20 129 to 2 495 computations (87.6% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 988 | 2 | 990 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 6 | 6 |
| Total | 989 | 10 | 999 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 51.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ✓ | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
| ▶ | 99.7% | (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
| ✓ | 49.3% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ▶ | 3.4% | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
| ✓ | 48.2% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 51.0% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 69 to 64 computations (7.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 x y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (neg.f64 (+.f64 y x)) | |
| cost-diff | 448 | (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
| 560× | lower-fma.f64 |
| 560× | lower-fma.f32 |
| 368× | lower-*.f32 |
| 364× | lower-*.f64 |
| 332× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 73 |
| 0 | 27 | 73 |
| 1 | 45 | 72 |
| 2 | 84 | 70 |
| 3 | 211 | 70 |
| 4 | 403 | 70 |
| 5 | 669 | 70 |
| 6 | 1448 | 70 |
| 7 | 1668 | 70 |
| 8 | 1733 | 70 |
| 9 | 1769 | 70 |
| 10 | 1788 | 70 |
| 0 | 1788 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(neg.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(/.f64 #s(literal -1 binary64) (-.f64 x y)) |
#s(literal -1 binary64) |
(-.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(/.f64 (+.f64 y x) (-.f64 x y)) |
(neg.f64 (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(/.f64 #s(literal -1 binary64) (-.f64 x y)) |
#s(literal -1 binary64) |
(-.f64 x y) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (neg.f64 (+.f64 y x)) | |
| accuracy | 0.0234375 | (/.f64 #s(literal -1 binary64) (-.f64 x y)) | |
| accuracy | 0.158535009768442 | (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 2 binary64) x) y) | |
| accuracy | 30.594439871864527 | #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) | |
| accuracy | 32.41976407282409 | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
| 32.0ms | 256× | 0 | valid |
Compiled 55 to 17 computations (69.1% saved)
ival-div: 9.0ms (48.6% of total)ival-add: 4.0ms (21.6% of total)ival-mult: 3.0ms (16.2% of total)ival-sub: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) x) (taylor 0 y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ y (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 2 (/ 1 x)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ x y)) (+ 1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) (taylor inf y) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ x y)) 1)) (taylor inf y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ x y)) 1)) (taylor inf y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 (/ x y)) 1)) (taylor inf y) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (/ x y)) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ y x)) (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) (patch #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 (/ y x))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) (patch #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ y x)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) x) y) (patch (*.f64 (/.f64 #s(literal 2 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 y) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) (patch (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ y x)))) (taylor -inf x) (#s(alt (neg.f64 (+.f64 y x)) (patch (neg.f64 (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ y x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 x y)) (patch (/.f64 #s(literal -1 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y))) |
| 1.0ms | x | @ | -inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y))) |
| 1.0ms | y | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y))) |
| 1.0ms | x | @ | inf | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y))) |
| 1.0ms | x | @ | 0 | ((/ (+ x y) (- x y)) (+ (* (/ 2 x) y) 1) (* (/ 2 x) y) (/ 2 x) (* (neg (+ y x)) (/ -1 (- x y))) (neg (+ y x)) (+ y x) (/ -1 (- x y))) |
| 1× | egg-herbie |
| 10 898× | lower-fma.f64 |
| 10 898× | lower-fma.f32 |
| 3 378× | lower-*.f64 |
| 3 378× | lower-*.f32 |
| 2 226× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 1425 |
| 1 | 828 | 1334 |
| 2 | 2351 | 1219 |
| 3 | 7371 | 1211 |
| 0 | 8231 | 1126 |
| 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 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 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 x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
(- (* -1 y) x) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ -1 x) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 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)))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 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 y) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
(* y (- (* -1 (/ x y)) 1)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(/ 1 y) |
(/ (+ 1 (/ x y)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow 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) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
-1 |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (* x (- (* -1 x) x)) y))) y)) 1) |
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* x (- (* -1 x) x)) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
(* -1 (* y (+ 1 (/ x y)))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
-1 |
(- (* -2 (/ x y)) 1) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(* 2 (/ y x)) |
(/ (+ x (* 2 y)) x) |
(/ (+ x (* 2 y)) x) |
(/ (+ x (* 2 y)) x) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y 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) |
(* -1 y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
(- (* -1 x) y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ 1 y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 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))))) |
1 |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 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 x) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
(* x (- (* -1 (/ y x)) 1)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ -1 x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow 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 (* 2 (/ y x))) |
(+ 1 (* 2 (/ y x))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
1 |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x))) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
(* -1 (* x (+ 1 (/ y x)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
(- (* -1 y) x) |
(-.f64 (neg.f64 y) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 (/ y (pow x 2))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x) |
(- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) y) y (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (+ (* -1 (/ x y)) (/ (* x (- (* -1 x) x)) (pow y 2))) (+ 1 (/ x y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (+ (* -1 (/ x y)) (/ (* (pow x 2) (- (* -1 x) x)) (pow y 3))) (+ 1 (+ (* -1 (/ (* x (- (* -1 x) x)) (pow y 2))) (/ x y)))) |
(-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
(* y (- (* -1 (/ x y)) 1)) |
(-.f64 (neg.f64 y) x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (/ x y)) y) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(/ (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))) y) |
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- x (* -1 x)) y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ x (/ (* x (- x (* -1 x))) y)) (* -1 x)) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (- x (* -1 x))) y)) (* x (- x (* -1 x)))) y))) (* -1 x)) y)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) x x)) y)) y) #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* y (+ (* 2 (/ 1 x)) (/ 1 y))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ x y)) (+ 1 (/ x y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (* x (- (* -1 x) x)) y))) y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* -1 (/ (+ (* -1 (- (* -1 x) x)) (* -1 (/ (+ (* x (- (* -1 x) x)) (/ (* (pow x 2) (- (* -1 x) x)) y)) y))) y)) 1) |
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 x y) x x)) y)) y) #s(literal 1 binary64)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* y (+ 1 (/ x y)))) |
(-.f64 (neg.f64 y) x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* -1 (/ x y)) 1) y)) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1) y)) |
(/.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y) x) y) #s(literal 1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(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)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ x (* 2 y)) x) |
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x) |
(/ (+ x (* 2 y)) x) |
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x) |
(/ (+ x (* 2 y)) x) |
(/.f64 (fma.f64 y #s(literal 2 binary64) x) x) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* -2 (/ x y)) 1) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64)) |
(- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 2 binary64))) y)) |
(- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 1) |
(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)) |
(* -1 y) |
(neg.f64 y) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
(- (* -1 x) y) |
(-.f64 (neg.f64 y) x) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ x (pow y 2))) |
(/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) |
(fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
(+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* y (- y (* -1 y))) (pow x 2)))) (* -1 (/ y x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (+ (/ y x) (/ (* (pow y 2) (- y (* -1 y))) (pow x 3)))) (+ (* -1 (/ y x)) (* -1 (/ (* y (- y (* -1 y))) (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) x)) y #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
(* x (- (* -1 (/ y x)) 1)) |
(-.f64 (neg.f64 y) x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(* x (+ 1 (/ y x))) |
(+.f64 x y) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ y x)) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x) |
(/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))) x) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ y x)) (* -1 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (* y (- y (* -1 y))) x))) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- y (* -1 y))) (* -1 (/ (+ (* y (- y (* -1 y))) (/ (* (pow y 2) (- y (* -1 y))) x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* -1 y) y) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (/ (* y (- (* -1 y) y)) x)) y) x))) |
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) y)) x)) (* y (- (* -1 y) y))) x))) y) x))) |
(-.f64 #s(literal 1 binary64) (/.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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
(* -1 (* x (+ 1 (/ y x)))) |
(-.f64 (neg.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 x y) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ y x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y x) y y) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
| 4 782× | lower-*.f32 |
| 4 778× | lower-*.f64 |
| 4 770× | lower-fma.f64 |
| 4 770× | lower-fma.f32 |
| 3 914× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 64 |
| 0 | 27 | 64 |
| 1 | 105 | 61 |
| 2 | 750 | 61 |
| 0 | 8645 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(neg.f64 (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(literal -1 binary64) (-.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
#s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) y)) |
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal 2 binary64) x)) |
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)) x) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) x) |
(/.f64 (/.f64 y x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(/.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (neg.f64 y) (neg.f64 (+.f64 y x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (+.f64 y x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(pow.f64 (-.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (+.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (+.f64 y x)) (-.f64 (*.f64 y (+.f64 y x)) (*.f64 x x))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 x y)) |
(/.f64 (neg.f64 (+.f64 y x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (-.f64 y x)) |
(neg.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)))) |
(fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (*.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))))) |
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y (*.f64 x x))) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y (+.f64 y x)))) |
Compiled 15 743 to 2 014 computations (87.2% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 800 | 0 | 800 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 8 | 8 |
| Total | 800 | 10 | 810 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 x y) (-.f64 x y)) |
| ✓ | 51.7% | (/.f64 (+.f64 x y) #s(approx (- x y) (neg.f64 y))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
| ✓ | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
| ✓ | 99.7% | (*.f64 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
| ✓ | 49.3% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) |
| ✓ | 3.4% | #s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
| ✓ | 48.2% | #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
| ✓ | 51.0% | #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
Compiled 172 to 105 computations (39% 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 (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.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 (neg.f64 (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (+.f64 y x))) |
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 x y)) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (-.f64 x y))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
3 calls:
| 76.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.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 (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.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:
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | x |
| 77.1% | 3 | y |
| 98.9% | 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 (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.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 |
|---|---|---|
| 98.5% | 2 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (- x y)) #s(approx (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
(/.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 |
|---|---|---|
| 97.7% | 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 (+ (* (/ 2 x) y) 1) (*.f64 (/.f64 #s(literal 2 binary64) x) y))) |
| 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 |
|---|---|---|
| 97.6% | 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 | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | y |
| 51.0% | 1 | x |
| 51.0% | 1 | (/.f64 (+.f64 x y) (-.f64 x y)) |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999701522668917 | 0.9999999311809475 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999701522668917 | 0.9999999311809475 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999701522668917 | 0.9999999311809475 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999701522668917 | 0.9999999311809475 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
| 6× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 144 |
| 1 | 36 | 144 |
| 2 | 39 | 144 |
| 3 | 40 | 144 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 x y)) #s(literal -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -1 binary64))) #s(approx (/ (+ x y) (- x y)) (fma.f64 (/.f64 #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 -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 x y)) |
(/.f64 (+.f64 y x) (-.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 y x) (-.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 y x) (-.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 y x) (-.f64 x y)) #s(literal -1/2 binary64)) (/.f64 (+.f64 y x) #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 -1/2 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal -1 binary64)) #s(approx (/ (+ x y) (- x y)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1/2 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)) |
| 11 976× | lower-fma.f64 |
| 11 976× | lower-fma.f32 |
| 3 278× | lower-*.f64 |
| 3 278× | lower-*.f32 |
| 1 780× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 458 |
| 1 | 432 | 439 |
| 2 | 1258 | 395 |
| 3 | 5371 | 377 |
| 0 | 8476 | 347 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 114 to 64 computations (43.9% saved)
Compiled 210 to 78 computations (62.9% saved)
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