
Time bar (total: 7.6s)
| 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 11 to 9 computations (18.2% saved)
| 932.0ms | 8 256× | 0 | valid |
ival-mult: 269.0ms (62.7% of total)ival-sub: 90.0ms (21% of total)ival-div: 55.0ms (12.8% of total)ival-true: 7.0ms (1.6% of total)exact: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 1 | (8.458114087449807e-269 -4.009713883583835e-43) | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x #s(literal 2 binary64)) y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | o/n | 36 | 0 |
| ↳ | (*.f64 x #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | overflow | 36 | |
/.f64 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) | u/n | 35 | 0 |
| ↳ | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 1 |
| - | 0 | 184 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 1 |
| - | 0 | 0 | 184 |
| number | freq |
|---|---|
| 0 | 185 |
| 1 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 512× | 0 | valid |
Compiled 61 to 25 computations (59% saved)
ival-mult: 7.0ms (51.1% of total)ival-sub: 3.0ms (21.9% of total)ival-div: 3.0ms (21.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 481× | times-frac |
| 441× | associate-*r* |
| 420× | times-frac |
| 394× | distribute-lft-in |
| 365× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 53 |
| 1 | 62 | 45 |
| 2 | 212 | 45 |
| 3 | 775 | 45 |
| 4 | 2699 | 45 |
| 5 | 3378 | 45 |
| 6 | 3564 | 45 |
| 7 | 3578 | 45 |
| 8 | 3593 | 45 |
| 9 | 3598 | 45 |
| 10 | 3598 | 45 |
| 11 | 3802 | 45 |
| 12 | 3898 | 45 |
| 13 | 3898 | 45 |
| 14 | 4002 | 45 |
| 15 | 4621 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 19 | 9 |
| 2 | 40 | 9 |
| 3 | 64 | 9 |
| 4 | 84 | 9 |
| 5 | 148 | 9 |
| 6 | 310 | 9 |
| 7 | 682 | 9 |
| 8 | 1532 | 9 |
| 9 | 2375 | 9 |
| 10 | 2393 | 9 |
| 11 | 2407 | 9 |
| 12 | 2419 | 9 |
| 13 | 2419 | 9 |
| 0 | 2419 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.9% | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 420× | times-frac |
| 336× | lower-fma.f64 |
| 336× | lower-fma.f32 |
| 320× | lower-*.f32 |
| 318× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 19 | 23 |
| 2 | 40 | 23 |
| 3 | 64 | 23 |
| 4 | 84 | 23 |
| 5 | 148 | 23 |
| 6 | 310 | 23 |
| 7 | 682 | 23 |
| 8 | 1532 | 23 |
| 9 | 2375 | 23 |
| 10 | 2393 | 23 |
| 11 | 2407 | 23 |
| 12 | 2419 | 23 |
| 13 | 2419 | 23 |
| 0 | 2419 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
y |
(-.f64 x y) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 y (-.f64 y x))) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
y |
(-.f64 x y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 (*.f64 x #s(literal 2 binary64)) y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 16.683935197775288 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 13.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 3.0ms (45.5% of total)ival-div: 2.0ms (30.3% of total)ival-sub: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (patch (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x #s(literal 2 binary64)) y) (patch (*.f64 (*.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<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 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 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 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 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 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>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* (* x 2) y) |
| 1.0ms | x | @ | 0 | (/ (* (* x 2) y) (- x y)) |
| 1.0ms | y | @ | inf | (/ (* (* x 2) y) (- x y)) |
| 1.0ms | y | @ | inf | (* (* x 2) y) |
| 0.0ms | x | @ | inf | (/ (* (* x 2) y) (- x y)) |
| 1× | egg-herbie |
| 7 199× | lower-fma.f64 |
| 7 199× | lower-fma.f32 |
| 2 526× | lower-*.f64 |
| 2 526× | lower-*.f32 |
| 989× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 557 |
| 1 | 378 | 543 |
| 2 | 1013 | 523 |
| 3 | 3099 | 517 |
| 4 | 6414 | 517 |
| 0 | 8134 | 486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 (* x y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 (fma.f64 y (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x))) x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y))) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y)) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) y) |
(* 2 (* x y)) |
(*.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) |
(* 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) |
(* 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 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.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) |
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) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 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 (+ 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) |
| 2 816× | lower-/.f32 |
| 2 815× | lower-/.f64 |
| 1 915× | lower-*.f32 |
| 1 913× | lower-*.f64 |
| 1 028× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 40 | 20 |
| 2 | 250 | 20 |
| 3 | 2754 | 20 |
| 0 | 9208 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
(*.f64 (*.f64 x #s(literal 2 binary64)) y) |
(*.f64 x #s(literal 2 binary64)) |
(-.f64 x y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (*.f64 y x) #s(literal 2 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x (*.f64 y y))) (+.f64 y x)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 y x)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 y x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) y) |
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) |
(-.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 y x)) |
(-.f64 x y) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y x)))) |
(+.f64 (*.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (neg.f64 (*.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))) |
(+.f64 (neg.f64 y) x) |
(+.f64 x (neg.f64 y)) |
Compiled 13 445 to 1 313 computations (90.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 480 | 6 | 486 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 481 | 6 | 487 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) | |
| ▶ | 87.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ▶ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ▶ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| ▶ | 48.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
| ▶ | 52.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
Compiled 112 to 68 computations (39.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 x (-.f64 x y)) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| 1 128× | lower-fma.f32 |
| 1 126× | lower-fma.f64 |
| 824× | lower-*.f32 |
| 818× | lower-*.f64 |
| 395× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 135 |
| 0 | 38 | 135 |
| 1 | 66 | 135 |
| 2 | 112 | 135 |
| 3 | 170 | 135 |
| 4 | 215 | 135 |
| 5 | 433 | 135 |
| 6 | 724 | 135 |
| 7 | 1608 | 135 |
| 8 | 2835 | 135 |
| 9 | 3550 | 135 |
| 10 | 3807 | 135 |
| 11 | 3910 | 135 |
| 12 | 3932 | 135 |
| 13 | 3934 | 135 |
| 14 | 4126 | 135 |
| 15 | 4198 | 135 |
| 16 | 4198 | 135 |
| 17 | 4198 | 135 |
| 18 | 4198 | 135 |
| 19 | 4270 | 135 |
| 20 | 4789 | 135 |
| 0 | 4789 | 135 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y x)) x) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(/.f64 x (-.f64 x y)) |
x |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
x |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 33.45253910839069 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) | |
| accuracy | 30.775502488972002 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) | |
| accuracy | 0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 33.11712710688254 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 30.51077579783758 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 x y)) | |
| accuracy | 7.948221793713529 | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| 46.0ms | 256× | 0 | valid |
Compiled 115 to 23 computations (80% saved)
ival-mult: 22.0ms (67.3% of total)ival-div: 7.0ms (21.4% of total)ival-add: 2.0ms (6.1% of total)ival-sub: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal -2 binary64)) (patch (*.f64 x #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) (patch (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ x (pow y 2))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.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 (/ 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 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 x y)) (patch (/.f64 x (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (/ (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 (/ (- (* -1 (/ (pow x 3) y)) (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 (/ (- (* -1 (/ (- (/ (pow x 4) y) (* -1 (pow x 3))) y)) (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 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (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 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 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 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 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>) () ())) ()) |
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#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (+ (* (/ 2 x) y) 2) y) |
| 1.0ms | x | @ | 0 | (* (+ (* (/ 2 x) y) 2) y) |
| 1.0ms | y | @ | -inf | (* (+ (* (/ 2 x) y) 2) y) |
| 1.0ms | y | @ | 0 | (* (+ (* (/ 2 x) y) 2) y) |
| 0.0ms | y | @ | 0 | (* (+ (* (/ x y) x) x) -2) |
| 1× | egg-herbie |
| 6 499× | lower-fma.f64 |
| 6 499× | lower-fma.f32 |
| 2 081× | lower-*.f64 |
| 2 081× | lower-*.f32 |
| 1 041× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 2970 |
| 1 | 708 | 2868 |
| 2 | 1944 | 2738 |
| 3 | 5728 | 2722 |
| 0 | 8654 | 2498 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 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 |
(+ 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 (/ 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 (+ (/ 1 x) (/ y (pow x 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x)))) |
(* -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 (/ 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 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ (+ (* 2 x) (* 2 y)) x) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(/ 2 x) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* -2 (/ x y)) 2)) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ (pow x 2) y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
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(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y)) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(*.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(+ 2 (* 2 (/ y x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* 2 (/ y x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) y) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 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) |
(/ 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) |
(/ 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) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 y #s(literal 2 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 y y) #s(literal 2 binary64))) x)) |
(* 2 y) |
(*.f64 y #s(literal 2 binary64)) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y) x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 #s(literal -2 binary64) x (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) y)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(*.f64 (*.f64 x (/.f64 (+.f64 x y) y)) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 x y) y)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 x y) y)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 x y) y)) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 2 618× | lower-*.f32 |
| 2 612× | lower-*.f64 |
| 2 590× | lower-fma.f32 |
| 2 588× | lower-fma.f64 |
| 2 138× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 122 |
| 0 | 38 | 122 |
| 1 | 125 | 122 |
| 2 | 736 | 122 |
| 0 | 8387 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 x (-.f64 x y)) |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x #s(literal -2 binary64)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 y x)) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (+.f64 x y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x y) #s(literal -2 binary64)) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 y x)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) (/.f64 y (-.f64 x y))) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 x y)) |
(*.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 y (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 x y)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 21 305 to 1 876 computations (91.2% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 5 | 955 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 952 | 9 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
| ✓ | 87.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ▶ | 67.2% | (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) |
| ▶ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
| ▶ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ▶ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ✓ | 48.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
Compiled 154 to 95 computations (38.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 192 | (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) | |
| cost-diff | 12160 | (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) y) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 384 | (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
| 1 910× | lower-fma.f32 |
| 1 907× | lower-fma.f64 |
| 1 390× | lower-*.f32 |
| 1 382× | lower-*.f64 |
| 814× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 188 |
| 0 | 56 | 184 |
| 1 | 100 | 181 |
| 2 | 185 | 179 |
| 3 | 290 | 179 |
| 4 | 439 | 179 |
| 5 | 768 | 179 |
| 6 | 1277 | 179 |
| 7 | 2235 | 179 |
| 8 | 3664 | 179 |
| 9 | 4315 | 179 |
| 10 | 4629 | 179 |
| 11 | 4739 | 179 |
| 12 | 4756 | 179 |
| 13 | 4759 | 179 |
| 14 | 5063 | 179 |
| 15 | 5231 | 179 |
| 16 | 5244 | 179 |
| 17 | 5252 | 179 |
| 18 | 5254 | 179 |
| 19 | 5254 | 179 |
| 20 | 5254 | 179 |
| 21 | 5254 | 179 |
| 22 | 5336 | 179 |
| 23 | 5846 | 179 |
| 24 | 6499 | 179 |
| 25 | 6717 | 179 |
| 26 | 7024 | 179 |
| 27 | 7168 | 179 |
| 28 | 7749 | 179 |
| 0 | 8039 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
(log1p.f64 (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x (-.f64 y x))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
y |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal -2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (/.f64 y x) #s(literal 1 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
(neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x))) |
(log1p.f64 (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
x |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.8428810832848838 | (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 5.334727541282697 | (log1p.f64 (/.f64 (neg.f64 y) x)) | |
| accuracy | 5.350071270695685 | (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.2773409976055602 | (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) | |
| accuracy | 16.20548191239245 | #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.03515625 | (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) | |
| accuracy | 16.20548191239245 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) | |
| accuracy | 0 | (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.07421875 | (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) | |
| accuracy | 33.08167093062613 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x y) y) | |
| accuracy | 8.193175769929853 | (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
| 49.0ms | 197× | 0 | valid |
| 15.0ms | 59× | 0 | invalid |
Compiled 174 to 31 computations (82.2% saved)
ival-mult: 23.0ms (49.2% of total)ival-div: 12.0ms (25.7% of total)ival-add: 3.0ms (6.4% of total)ival-exp: 2.0ms (4.3% of total)ival-log1p: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.1% of total)ival-neg: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) y) (patch (/.f64 (-.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) (patch (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) (patch (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y x) #s(literal 2 binary64)) (patch (*.f64 (/.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) (patch (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) (taylor 0 x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x) (taylor inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x)) (taylor -inf x) (#s(alt (log1p.f64 (/.f64 (neg.f64 y) x)) (patch (log1p.f64 (/.f64 (neg.f64 y) x)) #<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 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | (* (log (+ 1 (/ (neg y) x))) -1) |
| 2.0ms | x | @ | 0 | (* (+ (* (/ x y) -2) -2) x) |
| 1.0ms | x | @ | -inf | (* (log (+ 1 (/ (neg y) x))) -1) |
| 1.0ms | y | @ | 0 | (* (log (+ 1 (/ (neg y) x))) -1) |
| 0.0ms | x | @ | inf | (* (+ (* (/ x y) -2) -2) x) |
| 1× | egg-herbie |
| 6 071× | lower-fma.f64 |
| 6 071× | lower-fma.f32 |
| 2 136× | lower-+.f64 |
| 2 136× | lower-+.f32 |
| 1 929× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 4370 |
| 1 | 1396 | 4195 |
| 2 | 3937 | 4011 |
| 0 | 8160 | 3734 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/ x y) |
(/ (+ x (* -1 y)) y) |
(/ (+ x (* -1 y)) y) |
(/ (+ x (* -1 y)) y) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* -2 (/ x y)) 2)) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ (pow x 2) y)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ (pow x 2) y)) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
-2 |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x))))) |
(* -2 (/ x y)) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(* -2 (/ x y)) |
(/ (+ (* -2 x) (* -2 y)) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
(/ (+ (* -2 x) (* -2 y)) y) |
-2 |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
-2 |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
(- (* -2 (/ x y)) 2) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ y x)) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ (+ (* 2 x) (* 2 y)) x) |
(/ (+ (* 2 x) (* 2 y)) x) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
2 |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(+ 2 (* 2 (/ y x))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
(* 2 (/ y x)) |
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 (/ 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 (/ 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 (/ 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 |
(+ 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 (/ 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))) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(- (+ (* -2 x) (* -2 (/ (pow x 3) (pow y 2)))) (* 2 (/ (pow x 2) y))) |
(- (+ (* -2 x) (* -2 (/ (pow x 4) (pow y 3)))) (+ (* 2 (/ (pow x 2) y)) (* 2 (/ (pow x 3) (pow y 2))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow x 4) y)) (* 2 (pow x 3))) y)) (* -2 (pow x 2))) y))) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(/ y x) |
(* y (+ (* 1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (+ (* y (+ (* 1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (+ (* y (+ (* y (+ (* 1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) |
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (/ x y)) |
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y))) |
(+ (* -1 (+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y))))) (+ (* 1/3 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ (pow x 2) (pow y 2))) (/ x y)))) |
(* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) |
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (/ x y)) |
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) y))) y))) |
(+ (* -1 (+ (log (/ 1 x)) (* -1 (log (/ -1 y))))) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/3 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y))) y))) |
(* -1 (+ (log (* -1 y)) (* -1 (log x)))) |
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (/ x y)) |
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* 1/2 (/ x (pow y 2))) (/ 1 y)))) |
(+ (* -1 (+ (log (* -1 y)) (* -1 (log x)))) (* x (+ (* x (+ (* 1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)))) |
(/ y x) |
(/ (+ y (* 1/2 (/ (pow y 2) x))) x) |
(/ (+ y (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x)))) x) |
(/ (+ y (+ (* 1/4 (/ (pow y 4) (pow x 3))) (+ (* 1/3 (/ (pow y 3) (pow x 2))) (* 1/2 (/ (pow y 2) x))))) x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* 1/3 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow y 3)) (* -1/4 (/ (pow y 4) x))) x)) (* 1/2 (pow y 2))) x))) x)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (/ y x)) |
(* y (- (* -1/2 (/ y (pow x 2))) (/ 1 x))) |
(* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(* y (- (* y (- (* y (- (* -1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y)))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y)))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2)))))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3))))))) |
(+ (log (/ 1 x)) (* -1 (log (/ -1 y)))) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))) |
(+ (log (* -1 y)) (* -1 (log x))) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* -1 (/ x y)))) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(* -1 (/ y x)) |
(/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x) |
(* -1 (/ y x)) |
(* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64))) (neg.f64 x))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) 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) |
(* 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) |
(* 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) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) 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) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 y x) y) y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 #s(literal 2 binary64) y (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 y y) y (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (*.f64 (*.f64 y y) #s(literal -2 binary64))) (neg.f64 x))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x)) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (fma.f64 x (/.f64 x y) x) x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
(* -2 (/ (pow x 2) y)) |
(*.f64 (/.f64 (*.f64 x x) y) #s(literal -2 binary64)) |
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))) |
(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
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(*.f64 (fma.f64 x (/.f64 x y) x) #s(literal -2 binary64)) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (- (* -1/3 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y) |
(* y (- (* y (- (* y (- (* -1/4 (/ y (pow x 4))) (* 1/3 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) y (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) y (/.f64 #s(literal -1 binary64) x)) y) |
(+ (log (neg (/ 1 x))) (* -1 (log (/ 1 y)))) |
(-.f64 (log.f64 y) (log.f64 (neg.f64 x))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (* -1 (/ x y)))) |
(-.f64 (-.f64 (log.f64 y) (/.f64 x y)) (log.f64 (neg.f64 x))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (* -1/2 (/ (pow x 2) (pow y 2)))))) |
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y) (-.f64 (log.f64 (neg.f64 x)) (log.f64 y))) |
(+ (log (neg (/ 1 x))) (+ (* -1 (log (/ 1 y))) (+ (* -1 (/ x y)) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* -1/3 (/ (pow x 3) (pow y 3))))))) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) y) (neg.f64 x)) y) (-.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) |
(+ (log (/ 1 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ x y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 x y)) (log.f64 x)) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* 1/2 (/ (pow x 2) y))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y) x) y)) |
(+ (log (/ 1 x)) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ x (* -1 (/ (+ (* -1/2 (pow x 2)) (* -1/3 (/ (pow x 3) y))) y))) y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) (/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) y)) y)) |
(+ (log (* -1 y)) (* -1 (log x))) |
(-.f64 (log.f64 (neg.f64 y)) (log.f64 x)) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* -1 (/ x y)))) |
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (/.f64 x y)) (log.f64 x)) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* -1/2 (/ x (pow y 2))) (/ 1 y))))) |
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y y)) (/.f64 #s(literal -1 binary64) y)) x (log.f64 (neg.f64 y))) (log.f64 x)) |
(+ (log (* -1 y)) (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) x (-.f64 (log.f64 (neg.f64 y)) (log.f64 x))) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ (+ (* -1 y) (* -1/2 (/ (pow y 2) x))) x) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y)) x) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (* -1/3 (/ (pow y 3) (pow x 2))))) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y))) x) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) x)) (+ (* -1/3 (/ (pow y 3) (pow x 2))) (* -1/4 (/ (pow y 4) (pow x 3)))))) x) |
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 y x)) (neg.f64 y)))) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ (+ y (* 1/2 (/ (pow y 2) x))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y x)) y) (neg.f64 x)) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1/2 (pow y 2)) (* -1/3 (/ (pow y 3) x))) x))) x)) |
(/.f64 (neg.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (*.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y (/.f64 y x))))) x))) x) |
(* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (pow y 4) x)) (* 1/3 (pow y 3))) x)) (* -1/2 (pow y 2))) x))) x)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 2 261× | lower-/.f32 |
| 2 256× | lower-/.f64 |
| 2 253× | lower-fma.f32 |
| 2 250× | lower-fma.f64 |
| 1 966× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 165 |
| 0 | 56 | 161 |
| 1 | 195 | 158 |
| 2 | 1291 | 156 |
| 0 | 8467 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 x y) y) |
(-.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x) |
(fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) |
(/.f64 x y) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y) |
(fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/.f64 y x) |
(fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (/.f64 y x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(log1p.f64 (/.f64 (neg.f64 y) x)) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (*.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 y x) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (+.f64 (neg.f64 x) y)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 x y))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (-.f64 x y))) (neg.f64 y)) |
(*.f64 (/.f64 y (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (/.f64 (-.f64 x y) y))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 y #s(literal 2 binary64))) (-.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 y x)) |
(*.f64 (/.f64 x (-.f64 x y)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y) x) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) y) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (/.f64 y (-.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (*.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 y (-.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 #s(literal 2 binary64) x)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (/.f64 #s(literal -1 binary64) (-.f64 x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) (*.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 y x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (-.f64 x y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (/.f64 (-.f64 x y) y))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 y (-.f64 x y))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x (-.f64 x y)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 y (-.f64 x y)))) |
(*.f64 x (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y)) y)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y)))) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 (+.f64 (neg.f64 x) y) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (+.f64 (neg.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) |
(/.f64 y (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(/.f64 x (*.f64 (/.f64 (-.f64 x y) y) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 y x))) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (-.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (neg.f64 x) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) y)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (-.f64 x y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x y)) (*.f64 y x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) y) (-.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 (-.f64 x y) (+.f64 y x))) |
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(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 y (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (neg.f64 y) x))) |
(*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
(neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x))) |
(-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (neg.f64 y) x))) |
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(log1p.f64 (/.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x))))) (*.f64 (log1p.f64 (/.f64 y x)) (log1p.f64 (/.f64 y x)))) (+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x)))) (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) (+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (fma.f64 (log1p.f64 (/.f64 y x)) (log1p.f64 (/.f64 y x)) (*.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (fma.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))))) |
(neg.f64 (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))) |
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))))) (log.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log1p.f64 (/.f64 y x))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(-.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (/.f64 (neg.f64 y) x)))) |
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (neg.f64 (log1p.f64 (/.f64 y x)))) |
(+.f64 (log1p.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (neg.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))) |
(+.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 x x) x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 y y) y) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y y) (neg.f64 y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 22 682 to 2 339 computations (89.7% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 254 | 2 | 1 256 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 257 | 8 | 1 265 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
| ✓ | 87.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ✓ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ▶ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
| ✓ | 48.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
Compiled 78 to 47 computations (39.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (fma.f64 y (/.f64 y x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
| 852× | lower-fma.f32 |
| 851× | lower-fma.f64 |
| 676× | lower-*.f32 |
| 674× | lower-*.f64 |
| 259× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 62 |
| 0 | 24 | 62 |
| 1 | 44 | 62 |
| 2 | 77 | 62 |
| 3 | 117 | 62 |
| 4 | 161 | 62 |
| 5 | 240 | 62 |
| 6 | 507 | 62 |
| 7 | 1211 | 62 |
| 8 | 2193 | 62 |
| 9 | 2662 | 62 |
| 10 | 2983 | 62 |
| 11 | 3089 | 62 |
| 12 | 3107 | 62 |
| 13 | 3116 | 62 |
| 14 | 3299 | 62 |
| 15 | 3367 | 62 |
| 16 | 3367 | 62 |
| 17 | 3367 | 62 |
| 18 | 3407 | 62 |
| 19 | 3691 | 62 |
| 0 | 3691 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
y |
(/.f64 y x) |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(fma.f64 y (/.f64 y x) y) |
(fma.f64 (/.f64 y x) y y) |
y |
(/.f64 y x) |
x |
#s(literal 2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 8.193175769929853 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) | |
| accuracy | 0.07421875 | (fma.f64 y (/.f64 y x) y) | |
| accuracy | 30.775502488972002 | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 57 to 17 computations (70.2% saved)
ival-div: 7.0ms (40.3% of total)ival-mult: 6.0ms (34.6% of total)ival-sub: 2.0ms (11.5% of total)ival-add: 1.0ms (5.8% 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 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) (patch (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 y x) y) (patch (fma.f64 y (/.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 x) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -2 (/ x y)) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) (taylor 0 x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) (taylor inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) (taylor -inf x) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) (patch #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 2 y) (* 2 (/ (pow y 2) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* 2 (/ y x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -2 (/ (pow x 2) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 y) (/ 1 x))) (taylor inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 y)) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x y) 1) (taylor -inf y) (#s(alt (-.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (-.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (* x 2) (- (/ x y) 1)) |
| 0.0ms | x | @ | inf | (/ (* x 2) (- (/ x y) 1)) |
| 0.0ms | x | @ | -inf | (* (+ (* y (/ y x)) y) 2) |
| 0.0ms | y | @ | -inf | (* (+ (* y (/ y x)) y) 2) |
| 0.0ms | y | @ | 0 | (* (+ (* y (/ y x)) y) 2) |
| 1× | egg-herbie |
| 10 327× | lower-fma.f64 |
| 10 327× | lower-fma.f32 |
| 2 687× | lower-*.f64 |
| 2 687× | lower-*.f32 |
| 1 414× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1306 |
| 1 | 458 | 1266 |
| 2 | 1172 | 1222 |
| 3 | 3483 | 1214 |
| 0 | 8038 | 1124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* 2 (/ y x)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(* 2 (/ (pow y 2) x)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
y |
(* y (+ 1 (/ y x))) |
(* y (+ 1 (/ y x))) |
(* y (+ 1 (/ y x))) |
(/ (pow y 2) x) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow y 2) x) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(/ (pow y 2) x) |
(/ (+ (* x y) (pow y 2)) x) |
(/ (+ (* x y) (pow y 2)) x) |
(/ (+ (* x y) (pow y 2)) x) |
y |
(+ y (/ (pow y 2) x)) |
(+ y (/ (pow y 2) x)) |
(+ y (/ (pow y 2) x)) |
y |
(+ y (/ (pow y 2) x)) |
(+ y (/ (pow y 2) x)) |
(+ y (/ (pow y 2) x)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* -2 x) |
(* x (- (* -2 (/ x y)) 2)) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x))) |
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2))))) |
(* 2 y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(* 2 y) |
(* y (+ 2 (* 2 (/ y x)))) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(* -2 x) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 x))) |
(* x (- (/ 1 y) (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/ x y) |
(/ (+ x (* -1 y)) y) |
(/ (+ x (* -1 y)) y) |
(/ (+ x (* -1 y)) y) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
-1 |
(- (/ x y) 1) |
(- (/ x y) 1) |
(- (/ x y) 1) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) x)) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y))) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 (/ (pow y 2) x)) |
(*.f64 (/.f64 (*.f64 y y) x) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)) |
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x) |
(*.f64 (*.f64 y (/.f64 (+.f64 y x) x)) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
y |
(* y (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) y y) |
(* y (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) y y) |
(* y (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) y y) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(* (pow y 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 y x) y y) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ (+ (* x y) (pow y 2)) x) |
(*.f64 y (/.f64 (+.f64 y x) x)) |
(/ (+ (* x y) (pow y 2)) x) |
(*.f64 y (/.f64 (+.f64 y x) x)) |
(/ (+ (* x y) (pow y 2)) x) |
(*.f64 y (/.f64 (+.f64 y x) x)) |
y |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
y |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(+ y (/ (pow y 2) x)) |
(fma.f64 (/.f64 y x) y y) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* -2 (/ x y)) 2)) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal -2 binary64) y)) x #s(literal -2 binary64)) x) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(- (+ (* 2 y) (* 2 (/ (pow y 3) (pow x 2)))) (* -2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(- (+ (* 2 y) (* 2 (/ (pow y 4) (pow x 3)))) (+ (* -2 (/ (pow y 2) x)) (* -2 (/ (pow y 3) (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 2 (/ (pow y 2) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(+ (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 4) x)) (* -2 (pow y 3))) x)) (* 2 (pow y 2))) x)) (* 2 y)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* y (+ 2 (* 2 (/ y x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y) |
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (/.f64 y x) (fma.f64 (/.f64 y x) y y) y) #s(literal 2 binary64)) |
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))) y #s(literal 2 binary64)) y) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x x) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) y)) x)) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(+ (* -2 x) (* -2 (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y))) |
(*.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -2 binary64) y) x #s(literal -2 binary64)) #s(literal -2 binary64)) x) |
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y))) |
(fma.f64 x #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x (/.f64 (fma.f64 (*.f64 x x) x (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 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) |
(* 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) |
(* 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) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(* x (- (/ 1 y) (/ 1 x))) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(* -1 (* x (- (/ 1 x) (/ 1 y)))) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
(/ (+ x (* -1 y)) y) |
(/.f64 (-.f64 x y) y) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
-1 |
#s(literal -1 binary64) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(- (/ x y) 1) |
(/.f64 (-.f64 x y) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 2 969× | lower-fma.f32 |
| 2 968× | lower-fma.f64 |
| 2 592× | lower-*.f32 |
| 2 590× | lower-*.f64 |
| 2 109× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 55 |
| 0 | 24 | 55 |
| 1 | 101 | 55 |
| 2 | 708 | 55 |
| 0 | 8549 | 55 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64)) |
(fma.f64 y (/.f64 y x) y) |
(/.f64 y x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) y) (-.f64 y (*.f64 (/.f64 y x) y))) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (fma.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (fma.f64 (/.f64 y x) y y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y x))) y) |
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 y #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))) |
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 y x) y y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) y y)) |
(/.f64 (*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y)) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) y y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (-.f64 y (*.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y))) (fma.f64 (/.f64 (neg.f64 y) x) y y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (/.f64 (neg.f64 y) x) y y)) |
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 y x) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) y y))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) y (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 y x) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 (/.f64 y x) (*.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y (*.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 y #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) y) (*.f64 y #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(+.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y x) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (fma.f64 y (fma.f64 (/.f64 y x) y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) y) (-.f64 y (*.f64 (/.f64 y x) y))) (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y)))) (fma.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (-.f64 (*.f64 (-.f64 y (*.f64 (/.f64 y x) y)) y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (fma.f64 (/.f64 y x) y y)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) y) |
(*.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 y x) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (/.f64 (neg.f64 y) x) y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 y) x) y y))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))) |
(*.f64 (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (/.f64 (fma.f64 (/.f64 y x) y y) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y x) y y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) y y)) |
(*.f64 (fma.f64 (/.f64 y x) y y) (/.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (-.f64 (*.f64 (/.f64 y x) y) y))) |
(*.f64 (fma.f64 (/.f64 y x) y y) (*.f64 (-.f64 (*.f64 (/.f64 y x) y) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y)))) |
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) y y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (fma.f64 (neg.f64 y) y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))) (fma.f64 y y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) y) y))) (fma.f64 (*.f64 y y) (fma.f64 y y (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y (*.f64 (*.f64 (neg.f64 y) y) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y) (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y x) y) (-.f64 (*.f64 (/.f64 y x) y) y) (*.f64 y y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (*.f64 y y)) y))))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (/.f64 x y) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(fma.f64 (/.f64 x y) (/.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(-.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (-.f64 (/.f64 x y) #s(literal -1 binary64)))))) |
(+.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 12 590 to 1 199 computations (90.5% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 0 | 581 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 581 | 8 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.2% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
| ✓ | 87.6% | (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
| ✓ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| ✓ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
| ✓ | 47.7% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| ✓ | 51.9% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
| ✓ | 48.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 52.3% | #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
Compiled 201 to 89 computations (55.7% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 99.6% | 3 | y |
| 99.5% | 5 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal 2 binary64)) y (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
2 calls:
| 6.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 3 | x |
| 96.8% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 3 | x |
| 54.3% | 2 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 81.5% | 3 | y |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) y #s(literal 2 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| Outputs |
|---|
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) |
| 52.3% | 1 | x |
| 52.3% | 1 | y |
Compiled 17 to 11 computations (35.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.486403679187314e-8 | 2.2270457296499196e-5 |
| 9.0ms | -1.7383655083401705e-93 | -5.8805422756244795e-95 |
| 12.0ms | 160× | 0 | valid |
Compiled 254 to 182 computations (28.3% saved)
ival-mult: 2.0ms (46.9% of total)ival-sub: 1.0ms (23.4% of total)ival-div: 1.0ms (23.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.486403679187314e-8 | 2.2270457296499196e-5 |
| 1.0ms | -1.7383655083401705e-93 | -5.8805422756244795e-95 |
Compiled 254 to 172 computations (32.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.1888021701996276e+134 | 3.584500898406324e+135 |
| 11.0ms | -1.072103188163733e+171 | -8.347945033181807e+165 |
| 16.0ms | 240× | 0 | valid |
Compiled 329 to 219 computations (33.4% saved)
ival-mult: 3.0ms (49.7% of total)ival-sub: 1.0ms (16.6% of total)ival-div: 1.0ms (16.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 285.9963924791966 | 5625.936989088795 |
| 6.0ms | -1.6244175979103532e+150 | -7.674837900532472e+149 |
| 9.0ms | 192× | 0 | valid |
Compiled 217 to 146 computations (32.7% saved)
ival-mult: 2.0ms (40.2% of total)ival-sub: 1.0ms (20.1% of total)ival-div: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 285.9963924791966 | 5625.936989088795 |
| 0.0ms | -1.6244175979103532e+150 | -7.674837900532472e+149 |
Compiled 217 to 146 computations (32.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 285.9963924791966 | 5625.936989088795 |
| 0.0ms | -1.6244175979103532e+150 | -7.674837900532472e+149 |
Compiled 182 to 132 computations (27.5% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 6× | unsub-neg_binary64 |
| 5× | neg-mul-1_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 282 |
| 1 | 67 | 282 |
| 2 | 74 | 282 |
| 3 | 80 | 282 |
| 4 | 88 | 282 |
| 5 | 99 | 282 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)))) |
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)))) |
(if (<=.f64 y #s(literal -4039493242370993/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 x y) y)))) |
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -1519999999999999974886871754736430019909254943881988375361205830739917732678430665325975166709387584210333050180373533399249061135420151498150367745413123447280740859904 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 x (-.f64 x y))) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal -2 binary64)) x)))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 x #s(literal -2 binary64))))) |
(if (<=.f64 y #s(literal -779999999999999981417571393023117727900414571503625986842901748483607786111418298818316208953662881899952353438799456439829677187011665411949023199232 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 y #s(literal 2500 binary64)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) #s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (/ (* (* x 2) y) (- x y)) (*.f64 #s(literal 2 binary64) y)) |
| 7 199× | lower-fma.f64 |
| 7 199× | lower-fma.f32 |
| 2 816× | lower-/.f32 |
| 2 815× | lower-/.f64 |
| 2 618× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 557 |
| 1 | 378 | 543 |
| 2 | 1013 | 523 |
| 3 | 3099 | 517 |
| 4 | 6414 | 517 |
| 0 | 8134 | 486 |
| 0 | 32 | 165 |
| 0 | 56 | 161 |
| 1 | 195 | 158 |
| 2 | 1291 | 156 |
| 0 | 8467 | 156 |
| 0 | 24 | 122 |
| 0 | 38 | 122 |
| 1 | 125 | 122 |
| 2 | 736 | 122 |
| 0 | 8387 | 122 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 40 | 20 |
| 2 | 250 | 20 |
| 3 | 2754 | 20 |
| 0 | 9208 | 20 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 397 to 171 computations (56.9% saved)
Compiled 448 to 134 computations (70.1% saved)
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