
Time bar (total: 10.1s)
| 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 13 to 10 computations (23.1% saved)
| 416.0ms | 6 318× | 0 | valid |
| 251.0ms | 1 641× | 1 | valid |
| 68.0ms | 297× | 2 | valid |
ival-sub: 141.0ms (33.5% of total)ival-mult: 104.0ms (24.7% of total)ival-div: 63.0ms (15% of total)ival-add: 58.0ms (13.8% of total)adjust: 43.0ms (10.2% of total)ival-true: 5.0ms (1.2% of total)exact: 4.0ms (1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 57 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 38 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) | cancellation | 57 | 0 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 38 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 95 | 0 |
| - | 0 | 161 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 95 | 0 | 0 |
| - | 0 | 0 | 161 |
| number | freq |
|---|---|
| 0 | 161 |
| 1 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 86× | 1 | valid |
| 22.0ms | 406× | 0 | valid |
| 3.0ms | 20× | 2 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-sub: 6.0ms (29% of total)ival-div: 4.0ms (19.3% of total)ival-mult: 4.0ms (19.3% of total)adjust: 3.0ms (14.5% of total)ival-add: 3.0ms (14.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 090× | times-frac |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 882× | div-sub |
| 614× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 61 |
| 1 | 58 | 57 |
| 2 | 180 | 55 |
| 3 | 539 | 55 |
| 4 | 1584 | 55 |
| 5 | 3893 | 55 |
| 6 | 4625 | 55 |
| 7 | 4956 | 55 |
| 8 | 4960 | 55 |
| 9 | 4960 | 55 |
| 10 | 5176 | 55 |
| 11 | 5272 | 55 |
| 12 | 5272 | 55 |
| 13 | 5272 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 23 | 11 |
| 2 | 48 | 11 |
| 3 | 120 | 11 |
| 4 | 361 | 11 |
| 5 | 901 | 11 |
| 6 | 1739 | 11 |
| 7 | 1941 | 11 |
| 8 | 1965 | 11 |
| 0 | 1965 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.1% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 928× | lower-fma.f64 |
| 928× | lower-fma.f32 |
| 416× | lower-*.f32 |
| 414× | lower-*.f64 |
| 308× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 23 | 34 |
| 2 | 48 | 34 |
| 3 | 120 | 34 |
| 4 | 361 | 34 |
| 5 | 901 | 34 |
| 6 | 1739 | 34 |
| 7 | 1941 | 34 |
| 8 | 1965 | 34 |
| 0 | 1965 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 8.933200643016482 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 12.793944287694874 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 21.0ms | 43× | 1 | valid |
| 13.0ms | 203× | 0 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
adjust: 17.0ms (64.7% of total)ival-sub: 3.0ms (11.4% of total)ival-div: 2.0ms (7.6% of total)ival-mult: 2.0ms (7.6% of total)ival-add: 1.0ms (3.8% 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 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- 1 (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ 1 y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- 1 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | inf | (* (- 1 x) y) |
| 1.0ms | x | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | x | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 0.0ms | x | @ | -inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1× | egg-herbie |
| 13 336× | lower-fma.f64 |
| 13 336× | lower-fma.f32 |
| 3 556× | lower-+.f64 |
| 3 556× | lower-+.f32 |
| 2 780× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x)) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64))) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(fma.f64 y (fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))) (neg.f64 x)) y) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (*.f64 y x) y) (+.f64 y #s(literal -1 binary64)) x) (-.f64 (neg.f64 y) x)) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) (neg.f64 y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
(* y (- 1 x)) |
(-.f64 y (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
| 6 332× | lower-fma.f64 |
| 6 332× | lower-fma.f32 |
| 4 782× | lower-*.f32 |
| 4 780× | lower-*.f64 |
| 3 674× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (neg.f64 x) y) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y)))) (*.f64 (fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (neg.f64 x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y (neg.f64 x) y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
Compiled 13 697 to 1 626 computations (88.1% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 15 | 564 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 550 | 15 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| 58.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) | |
| ▶ | 79.8% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 52.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| 63.3% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) | |
| 37.5% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 31.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 77.2% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) | |
| 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| ▶ | 51.1% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
| 48.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 49.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 51.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) | |
| ▶ | 50.8% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| ▶ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 36.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
Compiled 452 to 250 computations (44.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 7 944× | lower-fma.f32 |
| 7 940× | lower-fma.f64 |
| 1 440× | lower-*.f32 |
| 1 438× | lower-*.f64 |
| 1 408× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 171 |
| 0 | 43 | 171 |
| 1 | 81 | 171 |
| 2 | 154 | 167 |
| 3 | 288 | 167 |
| 4 | 968 | 167 |
| 5 | 2810 | 167 |
| 6 | 4878 | 167 |
| 7 | 5957 | 167 |
| 8 | 6314 | 167 |
| 9 | 6405 | 167 |
| 10 | 6430 | 167 |
| 11 | 6440 | 167 |
| 12 | 6509 | 167 |
| 13 | 6623 | 167 |
| 14 | 6740 | 167 |
| 15 | 6740 | 167 |
| 16 | 7230 | 167 |
| 17 | 7414 | 167 |
| 18 | 7414 | 167 |
| 19 | 7414 | 167 |
| 0 | 7414 | 167 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
y |
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
y |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
y |
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) | |
| accuracy | 31.293633684557317 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 29.248595584270245 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) | |
| accuracy | 31.477468462398353 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) | |
| accuracy | 40.49836663589183 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 12.913999122445505 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 51.0ms | 203× | 0 | valid |
| 17.0ms | 43× | 1 | valid |
| 5.0ms | 10× | 2 | valid |
Compiled 144 to 26 computations (81.9% saved)
ival-div: 11.0ms (30.8% of total)ival-add: 9.0ms (25.2% of total)ival-mult: 8.0ms (22.4% of total)adjust: 4.0ms (11.2% of total)ival-sub: 4.0ms (11.2% 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 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (patch (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) y) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) (taylor inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) (taylor -inf y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ 1 (* -1 y)) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 y)) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor -inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor -inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) 1) (taylor -inf y) (#s(alt (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | inf | (/ y (+ 1 y)) |
| 2.0ms | y | @ | -inf | (+ (/ 1 y) -1) |
| 1.0ms | x | @ | inf | (+ x (/ (- 1 x) y)) |
| 1.0ms | x | @ | 0 | (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) |
| 1.0ms | x | @ | -inf | (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) |
| 1× | egg-herbie |
| 20 462× | lower-fma.f64 |
| 20 462× | lower-fma.f32 |
| 5 468× | lower-+.f64 |
| 5 468× | lower-+.f32 |
| 3 742× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 3741 |
| 1 | 873 | 3241 |
| 2 | 2603 | 2832 |
| 0 | 8233 | 2702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(+ (* -1 (/ (- (/ 1 y) 1) y)) (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))) |
(+ (* -1 (/ (- (/ 1 y) 1) y)) (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))) |
(+ (* -1 (/ (- (/ 1 y) 1) y)) (* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))) |
(* x (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))) |
(* x (- (+ 1 (+ (* -1 (/ (- (/ 1 y) 1) (* x y))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (+ 1 (+ (* -1 (/ (- (/ 1 y) 1) (* x y))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* x (- (+ 1 (+ (* -1 (/ (- (/ 1 y) 1) (* x y))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 y) 1) y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) y)) (/ 1 (* x (pow y 2)))) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) y)) (/ 1 (* x (pow y 2)))) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) y)) (/ 1 (* x (pow y 2)))) (+ 1 (/ 1 (* x y)))))) |
(/ (- x 1) (pow y 2)) |
(/ (- (+ x (* -1 (* y (- x 1)))) 1) (pow y 2)) |
(/ (- (+ x (* y (+ (* -1 (- x 1)) (* x y)))) 1) (pow y 2)) |
(/ (- (+ x (* y (+ (* -1 (- x 1)) (* x y)))) 1) (pow y 2)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) (/ 1 (pow y 2))) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) (/ 1 (pow y 2))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) |
(+ x (* -1 (/ (- (+ x (* -1 (/ (- x 1) y))) 1) y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ 1 (* -1 y)) y) |
-1 |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
-1 |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y x (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y (*.f64 y y)) x) (-.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y)) |
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(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 x y)) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 #s(literal -1 binary64) x) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
(- x 1) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
(* x (- 1 (/ 1 x))) |
(+.f64 #s(literal -1 binary64) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 #s(literal -1 binary64) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1 y)) y) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/ (+ 1 (* -1 y)) y) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/ (+ 1 (* -1 y)) y) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
-1 |
#s(literal -1 binary64) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (/ 1 y) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| 4 906× | lower-/.f32 |
| 4 896× | lower-/.f64 |
| 4 780× | lower-*.f32 |
| 4 778× | lower-*.f64 |
| 2 542× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 150 |
| 0 | 43 | 150 |
| 1 | 216 | 146 |
| 2 | 2068 | 146 |
| 0 | 8720 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
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(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal -1 binary64) y)))) |
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(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) |
Compiled 17 117 to 1 889 computations (89% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 904 | 14 | 918 |
| Fresh | 4 | 6 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 911 | 22 | 933 |
| Status | Accuracy | Program |
|---|---|---|
| 58.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) | |
| ▶ | 37.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 49.3% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| 36.5% | (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 52.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| 37.5% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 31.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| 48.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| ▶ | 79.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
| 40.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) | |
| 51.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))) | |
| ▶ | 50.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| 11.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) | |
| ▶ | 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| 40.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| ✓ | 36.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ▶ | 41.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 636 to 319 computations (49.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| cost-diff | 512 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 512 | (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
| 5 538× | lower-fma.f32 |
| 5 534× | lower-fma.f64 |
| 2 618× | lower-*.f32 |
| 2 616× | lower-*.f64 |
| 1 036× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 201 |
| 0 | 47 | 198 |
| 1 | 83 | 198 |
| 2 | 153 | 198 |
| 3 | 322 | 196 |
| 4 | 831 | 194 |
| 5 | 2656 | 193 |
| 6 | 4809 | 193 |
| 7 | 6326 | 193 |
| 8 | 7469 | 193 |
| 0 | 8011 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 y (fma.f64 x y x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
y |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
x |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) | |
| accuracy | 12.913999122445505 | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| accuracy | 32.92034096788373 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) | |
| accuracy | 0 | (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) | |
| accuracy | 31.477468462398353 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) | |
| accuracy | 32.92034096788373 | #s(approx (- 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 31.477468462398353 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 40.44157830024261 | #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 37.57744541563022 | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) | |
| accuracy | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (/.f64 y (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0625 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 12.861282306657483 | (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
| 40.0ms | 203× | 0 | valid |
| 16.0ms | 43× | 1 | valid |
| 5.0ms | 10× | 2 | valid |
Compiled 150 to 25 computations (83.3% saved)
ival-div: 12.0ms (28.6% of total)ival-sub: 10.0ms (23.8% of total)ival-add: 9.0ms (21.4% of total)ival-mult: 7.0ms (16.7% of total)adjust: 3.0ms (7.1% 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 (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (patch #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* -1 (/ y (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (patch (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- 1 (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) (taylor -inf y) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 y (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (- 1 x) y) |
| 0.0ms | x | @ | 0 | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 0.0ms | x | @ | inf | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 0.0ms | y | @ | 0 | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 0.0ms | x | @ | -inf | (+ (* x (* (+ 1 (/ -1 x)) (/ y (+ 1 y)))) 1) |
| 1× | egg-herbie |
| 14 666× | lower-fma.f64 |
| 14 666× | lower-fma.f32 |
| 4 220× | lower-+.f64 |
| 4 220× | lower-+.f32 |
| 4 002× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 4563 |
| 1 | 925 | 4180 |
| 2 | 2851 | 2864 |
| 0 | 8531 | 2737 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
1 |
(+ 1 (* x (* y (- 1 (/ 1 x))))) |
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x)))))) |
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x)))))))) |
(+ 1 (* x (- 1 (/ 1 x)))) |
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) |
(- (+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- 1 (/ 1 x))) (pow y 2)))) (/ (* x (- 1 (/ 1 x))) y)) |
(- (+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 3))) (* x (- 1 (/ 1 x))))) (+ (* -1 (/ (* x (- 1 (/ 1 x))) (pow y 2))) (/ (* x (- 1 (/ 1 x))) y))) |
(+ 1 (* x (- 1 (/ 1 x)))) |
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) |
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x)))) y)) (* x (- 1 (/ 1 x))))) |
(* -1 (/ y (* x (+ 1 y)))) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))) x) |
(/ y (+ 1 y)) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))) |
(* y (- 1 (/ 1 x))) |
(* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) |
(* y (- (+ 1 (* y (- (+ (* y (- 1 (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) |
(* y (- (+ 1 (* y (- (+ (* y (- (+ 1 (* y (- (/ 1 x) 1))) (/ 1 x))) (/ 1 x)) 1))) (/ 1 x))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y))) |
(- (+ 1 (+ (/ 1 (* x y)) (/ 1 (pow y 2)))) (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* x (pow y 2)))))) |
(- (+ 1 (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))))) (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (pow y 3)))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (* x y))) (+ (/ 1 x) (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) (/ 1 x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- (/ 1 x) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 x) 1)) (/ 1 (* x y))) (/ 1 y)) y))) y))) (/ 1 x)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
(/ (- x 1) x) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
1 |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
(- 1 (/ 1 x)) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* y (- y 1)))) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
1 |
(- 1 (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
1 |
(- 1 (/ 1 y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
| Outputs |
|---|
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(fma.f64 x (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (* y (- 1 (/ 1 x))))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* x (* y (- 1 (/ 1 x))))) (* x (- 1 (/ 1 x)))))) |
(fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* x (- 1 (/ 1 x))) (* y (- (* x (* y (- 1 (/ 1 x)))) (* x (- 1 (/ 1 x)))))))) |
(fma.f64 y (+.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* x (- 1 (/ 1 x)))) |
x |
(+ 1 (+ (* -1 (/ (* x (- 1 (/ 1 x))) y)) (* x (- 1 (/ 1 x))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (* x (- 1 (/ 1 x))) (/ (* x (- 1 (/ 1 x))) (pow y 2)))) (/ (* x (- 1 (/ 1 x))) y)) |
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(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
(/.f64 (+.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))) y) |
-1 |
#s(literal -1 binary64) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(- (* -1 y) 1) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) y) |
y |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* y (- y 1)))) |
(fma.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y) y) |
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)) |
| 5 878× | lower-*.f32 |
| 5 876× | lower-*.f64 |
| 4 674× | lower-/.f32 |
| 4 664× | lower-/.f64 |
| 3 854× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 177 |
| 0 | 47 | 177 |
| 1 | 240 | 177 |
| 2 | 2157 | 177 |
| 0 | 9190 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
(+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal -1 binary64) y) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))) |
(+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) y (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) y) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))) (+.f64 #s(literal 1 binary64) y))) |
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#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
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#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) x) |
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#s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y)) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64)) x) |
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(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) x) |
(fma.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) x) |
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(approx (- 1 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y)) |
(+.f64 #s(literal -1 binary64) (neg.f64 y)) |
(+.f64 (neg.f64 y) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) y) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal -1 binary64) y))) |
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) |
(neg.f64 (+.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (neg.f64 y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (neg.f64 y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) y))) |
(pow.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (-.f64 #s(literal -1 binary64) y))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) y) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) y)) |
Compiled 9 271 to 864 computations (90.7% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 3 | 579 |
| Fresh | 2 | 13 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 579 | 22 | 601 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
| ✓ | 37.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 49.3% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| 36.6% | (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y)))) | |
| ▶ | 52.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
| 37.5% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 31.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| 48.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| 37.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) | |
| ▶ | 40.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
| 51.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))) | |
| ✓ | 50.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ▶ | 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| 11.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) | |
| ✓ | 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| 40.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| ▶ | 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
| ✓ | 36.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 41.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 599 to 297 computations (50.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) | |
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 y (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) | |
| cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
| 8 890× | lower-fma.f32 |
| 8 882× | lower-fma.f64 |
| 3 998× | lower-*.f32 |
| 3 986× | lower-*.f64 |
| 1 500× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 307 |
| 0 | 65 | 307 |
| 1 | 128 | 307 |
| 2 | 300 | 307 |
| 3 | 1206 | 306 |
| 4 | 6059 | 301 |
| 0 | 8684 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y (neg.f64 x) y) |
y |
(neg.f64 x) |
x |
(/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (*.f64 y y) y) |
(*.f64 y y) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 x #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))))) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
(*.f64 x #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y)))) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
x |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(*.f64 y x) |
y |
x |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 y (*.f64 y x)) (/.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 (-.f64 y (*.f64 y x)) (/.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (-.f64 y (*.f64 y x)))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (neg.f64 x) y) |
(-.f64 y (*.f64 y x)) |
y |
(neg.f64 x) |
x |
(/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 y (*.f64 y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(/.f64 y (+.f64 y #s(literal 1 binary64))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.78875493199791 | (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) | |
| accuracy | 12.77907973795452 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) | |
| accuracy | 13.378660486024616 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| accuracy | 18.437543009887012 | (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 8.956638143016482 | (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) | |
| accuracy | 29.248595584270245 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0.01171875 | (-.f64 y (*.f64 y y)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) | |
| accuracy | 29.248595584270245 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) | |
| accuracy | 32.849751066960664 | #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 29.248595584270245 | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) | |
| accuracy | 32.19104757542907 | #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 y y) y) | |
| accuracy | 0.01953125 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) | |
| accuracy | 0.266420847070364 | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 26.015662060119784 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
| 80.0ms | 202× | 0 | valid |
| 25.0ms | 44× | 1 | valid |
| 24.0ms | 10× | 2 | valid |
Compiled 273 to 34 computations (87.5% saved)
ival-mult: 28.0ms (35% of total)adjust: 21.0ms (26.2% of total)ival-div: 14.0ms (17.5% of total)ival-add: 8.0ms (10% of total)ival-sub: 7.0ms (8.7% of total)ival-neg: 1.0ms (1.2% 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 (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) (patch #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) (patch (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) (patch #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 y y)) (patch (-.f64 y (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (patch (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (- 1 x))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (pow y 2) y)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1 (pow y 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y (neg.f64 x) y) (patch (fma.f64 y (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y y) y) (patch (-.f64 (*.f64 y y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 x))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -2 (* y (+ 1 (* -1 x)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (* y (- (* -1 (* y (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 x) (* y (- (* y (- (* -1 (* y (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))))) (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) (taylor 0 y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1 x)) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ (* -2 (/ (+ 1 (* -1 x)) y)) (* -1 x))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))) (pow y 2))))) (* 2 (/ (+ 1 (* -1 x)) y))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (pow y 3))))) (+ (* -4 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ (+ 1 (* -1 x)) y)) (/ 1 (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x 1) y)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ x (* -2 (/ (- x 1) y))) 1) y)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* 2 (/ (- x 1) y)))) (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) (taylor -inf y) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow (+ 1 y) 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (pow (+ 1 y) 2))) (taylor inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) (pow (+ 1 y) 2))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (patch (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | inf | (+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (- (* y y) y))) 1) |
| 2.0ms | y | @ | inf | (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) |
| 1.0ms | y | @ | -inf | (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) |
| 1.0ms | x | @ | 0 | (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) |
| 1.0ms | x | @ | inf | (/ (- 1 (* (+ (* y (neg x)) y) (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))))) (+ (* (- 1 x) (/ y (+ 1 y))) 1)) |
| 1× | egg-herbie |
| 9 422× | lower-fma.f64 |
| 9 422× | lower-fma.f32 |
| 5 208× | lower-*.f64 |
| 5 208× | lower-*.f32 |
| 4 960× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 739 | 7079 |
| 1 | 2506 | 6578 |
| 0 | 8456 | 6387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y)) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(/ (* x (- (pow y 2) y)) (- (pow y 2) 1)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (pow y 2)))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))) |
(/ -1 (pow y 2)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/ -1 (pow y 2)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(- (pow y 2) y) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(* -1 (* x (- (pow y 2) y))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(* -1 (* x (- (pow y 2) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
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(/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2)) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))) |
(/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2)) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (* -1 x))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
(* -1 (* y (- x 1))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 y) |
(* y (- y 1)) |
(* y (- y 1)) |
(* y (- y 1)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* y (+ 1 (* -1 x))) |
(* y (+ 1 (+ (* -2 (* y (+ 1 (* -1 x)))) (* -1 x)))) |
(* y (+ 1 (+ (* -1 x) (* y (- (* -1 (* y (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) |
(* y (+ 1 (+ (* -1 x) (* y (- (* y (- (* -1 (* y (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))))) (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) |
(/ (+ 1 (* -1 x)) y) |
(/ (+ 1 (+ (* -2 (/ (+ 1 (* -1 x)) y)) (* -1 x))) y) |
(/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))) (pow y 2))))) (* 2 (/ (+ 1 (* -1 x)) y))) y) |
(/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (pow y 3))))) (+ (* -4 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ (+ 1 (* -1 x)) y)) (/ 1 (pow y 2)))))) y) |
(* -1 (/ (- x 1) y)) |
(* -1 (/ (- (+ x (* -2 (/ (- x 1) y))) 1) y)) |
(* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) |
(* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* 2 (/ (- x 1) y)))) (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) |
(/ y (pow (+ 1 y) 2)) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(* -1 (/ (* x y) (pow (+ 1 y) 2))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(* -1 (/ (* x y) (pow (+ 1 y) 2))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) |
(fma.f64 y (+.f64 x (fma.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* -1 (- 1 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y)) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y)) |
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ 1 (* -1 (- 1 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(+ 1 (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1))) (* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))))) |
(fma.f64 (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(*.f64 x (+.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(*.f64 x (+.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))))) |
(* x (- (+ (* -1 (/ (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))) x)) (+ (/ 1 x) (/ (pow y 2) (- (pow y 2) 1)))) (/ y (- (pow y 2) 1)))) |
(*.f64 x (+.f64 (/.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))))) |
(/ (* x (- (pow y 2) y)) (- (pow y 2) 1)) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (- (/ (pow y 2) (- (pow y 2) 1)) (/ y (- (pow y 2) 1))))) x)) (* -1 (/ (- (pow y 2) y) (- (pow y 2) 1)))))) |
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64)))) x) (/.f64 (-.f64 (*.f64 y y) y) (fma.f64 y y #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/ -1 (pow y 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 y y)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)) |
(/ -1 (pow y 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 y y)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)) |
-1 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))) |
(- (pow y 2) y) |
(-.f64 (*.f64 y y) y) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
(- (+ (* -1 (* x (- (pow y 2) y))) (pow y 2)) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
(* -1 (* x (- (pow y 2) y))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(*.f64 x (+.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (/.f64 (-.f64 (*.f64 y y) y) x))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(*.f64 x (+.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (/.f64 (-.f64 (*.f64 y y) y) x))) |
(* x (- (+ (* -1 (- (pow y 2) y)) (/ (pow y 2) x)) (/ y x))) |
(*.f64 x (+.f64 (neg.f64 (-.f64 (*.f64 y y) y)) (/.f64 (-.f64 (*.f64 y y) y) x))) |
(* -1 (* x (- (pow y 2) y))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(neg.f64 (*.f64 x (-.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y y) y) x)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(neg.f64 (*.f64 x (-.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y y) y) x)) y))) |
(* -1 (* x (- (+ (* -1 (/ (- (pow y 2) y) x)) (pow y 2)) y))) |
(neg.f64 (*.f64 x (-.f64 (-.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y y) y) x)) y))) |
(* -1 (* y (- 1 x))) |
(fma.f64 y x (neg.f64 y)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (-.f64 y (*.f64 y x)) (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (-.f64 y (*.f64 y x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (-.f64 y (*.f64 y x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x)))) |
(- 1 (/ y (+ 1 y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(-.f64 (fma.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(-.f64 (fma.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(-.f64 (fma.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(*.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x) (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(*.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x) (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(*.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x) (neg.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(neg.f64 (*.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (neg.f64 x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
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(*.f64 (*.f64 x x) (fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))))) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 y (*.f64 (fma.f64 y x x) (fma.f64 y x x))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x)))))) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 y) 2))) (/ (pow y 2) (pow (+ 1 y) 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 y (*.f64 (fma.f64 y x x) (fma.f64 y x x))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x)))))) |
(/ (* (pow x 2) (pow y 2)) (pow (+ 1 y) 2)) |
(/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(* (pow x 2) (+ (* -2 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 x x) (fma.f64 y (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x)))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (+ 1 y) 2)))) (* 2 (/ (pow y 2) (pow (+ 1 y) 2)))) x)) (/ (pow y 2) (pow (+ 1 y) 2)))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x)))) x))) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* y (- x 1))) |
(-.f64 y (*.f64 y x)) |
y |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(+ y (* -1 (* x y))) |
(-.f64 y (*.f64 y x)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 x (-.f64 (/.f64 y x) y)) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(neg.f64 (*.f64 x (-.f64 y (/.f64 y x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(neg.f64 (*.f64 x (-.f64 y (/.f64 y x)))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(neg.f64 (*.f64 x (-.f64 y (/.f64 y x)))) |
(* -1 y) |
(neg.f64 y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(* y (- y 1)) |
(-.f64 (*.f64 y y) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* y (+ 1 (* -1 x))) |
(-.f64 y (*.f64 y x)) |
(* y (+ 1 (+ (* -2 (* y (+ 1 (* -1 x)))) (* -1 x)))) |
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) x) y) |
(* y (+ 1 (+ (* -1 x) (* y (- (* -1 (* y (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) |
(fma.f64 y (fma.f64 y (fma.f64 (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x) (neg.f64 y) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (neg.f64 x)) y) |
(* y (+ 1 (+ (* -1 x) (* y (- (* y (- (* -1 (* y (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))))) (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (* 2 (+ 1 (* -1 x)))))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (fma.f64 y (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x))) #s(literal -1 binary64)) (-.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -4 binary64)) x)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) (neg.f64 x)) y) |
(/ (+ 1 (* -1 x)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (+ 1 (+ (* -2 (/ (+ 1 (* -1 x)) y)) (* -1 x))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y) x)) y) |
(/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))) (pow y 2))))) (* 2 (/ (+ 1 (* -1 x)) y))) y) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x) (neg.f64 y)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) y)) y) |
(/ (- (+ 1 (+ (* -1 x) (* -1 (/ (+ (* -2 (+ 1 (* -1 x))) (* -2 (+ 1 (+ (* -4 (+ 1 (* -1 x))) (* -1 x))))) (pow y 3))))) (+ (* -4 (/ (+ 1 (* -1 x)) (pow y 2))) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ (+ 1 (* -1 x)) y)) (/ 1 (pow y 2)))))) y) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x))) (*.f64 y (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 y y)) (+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))))) y) |
(* -1 (/ (- x 1) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ (- (+ x (* -2 (/ (- x 1) y))) 1) y)) |
(/.f64 (+.f64 x (+.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) y) #s(literal -1 binary64))) (neg.f64 y)) |
(* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) |
(/.f64 (+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x) (neg.f64 y)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) y)) #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (/ (- 1 (+ x (* -4 (- x 1)))) y)) (* 2 (/ (- x 1) y)))) (+ x (* -4 (- x 1)))) y)) (* -2 (- x 1))) y))) 1) y)) |
(/.f64 (+.f64 (-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x) y) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) y)) (-.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) x)) x)) (neg.f64 y)) (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/ y (pow (+ 1 y) 2)) |
(/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(+ (* -1 (/ (* x y) (pow (+ 1 y) 2))) (/ y (pow (+ 1 y) 2))) |
(-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(* -1 (/ (* x y) (pow (+ 1 y) 2))) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(*.f64 x (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(*.f64 x (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(* x (+ (* -1 (/ y (pow (+ 1 y) 2))) (/ y (* x (pow (+ 1 y) 2))))) |
(*.f64 x (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(* -1 (/ (* x y) (pow (+ 1 y) 2))) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))))) |
(* -1 (* x (+ (* -1 (/ y (* x (pow (+ 1 y) 2)))) (/ y (pow (+ 1 y) 2))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y x x))))) |
| 6 276× | lower-fma.f32 |
| 6 268× | lower-fma.f64 |
| 4 636× | lower-/.f32 |
| 4 626× | lower-/.f64 |
| 3 386× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 251 |
| 0 | 65 | 224 |
| 1 | 284 | 212 |
| 2 | 2472 | 212 |
| 0 | 8845 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (* (/ y (+ 1 y)) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
(*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x) |
#s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) |
(-.f64 y (*.f64 y y)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64))) |
(+.f64 y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y (neg.f64 x) y) |
(-.f64 (*.f64 y y) y) |
(/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (*.f64 y y) y) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 (*.f64 y y) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 y (neg.f64 x))) (*.f64 (*.f64 y y) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (neg.f64 x)) y))) |
Compiled 40 880 to 3 260 computations (92% saved)
21 alts after pruning (12 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 151 | 5 | 1 156 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 157 | 21 | 1 178 |
| Status | Accuracy | Program |
|---|---|---|
| 36.9% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) | |
| ✓ | 37.5% | (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 49.3% | (fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) | |
| 52.6% | (/.f64 (fma.f64 (fma.f64 y (neg.f64 x) y) (neg.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| 37.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) #s(approx (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) | |
| 37.5% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) | |
| 31.1% | (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) | |
| 48.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) | |
| 37.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) | |
| ✓ | 40.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
| 51.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))) | |
| ✓ | 50.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| ✓ | 54.3% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
| ✓ | 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| 40.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) | |
| 14.2% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) | |
| 11.5% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) | |
| ✓ | 12.0% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 14.9% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
| ✓ | 36.7% | #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| ✓ | 41.3% | #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
Compiled 798 to 258 computations (67.7% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) #s(approx (/ (+ (* y (neg x)) y) (* (+ 1 y) (+ 1 y))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 y (neg.f64 x) y) (neg.f64 (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (neg.f64 x) y) (/.f64 (fma.f64 y (neg.f64 x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) (*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
5 calls:
| 36.0ms | x |
| 29.0ms | (-.f64 #s(literal 1 binary64) x) |
| 13.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 10.0ms | y |
| 10.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 1 | x |
| 99.9% | 3 | y |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 79.9% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
3 calls:
| 21.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 9.0ms | y |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.8% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.8% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(literal 1 binary64)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (/ (+ x -1) y) (+ (/ 1 y) -1)) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 x #s(approx (* (+ 1 (/ -1 x)) (/ y (+ 1 y))) (neg.f64 (/.f64 y (fma.f64 y x x)))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- 1 x) (- (* y y) y)) (-.f64 (*.f64 y y) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
1 calls:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
3 calls:
| 6.0ms | y |
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 98.3% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.1% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (fma.f64 x (neg.f64 y) y) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (/.f64 (*.f64 y x) (+.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
3 calls:
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 6.0ms | y |
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 98.0% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 98.0% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (-.f64 x (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) |
3 calls:
| 8.0ms | y |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 76.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 87.4% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 y #s(approx (/ (- 1 x) (- -1 y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (/ (* y x) (+ y 1)) (*.f64 y (-.f64 x (*.f64 y x))))) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ 1 y)) (-.f64 y (*.f64 y y))) x)) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 75.9% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 57.5% | 3 | (-.f64 #s(literal 1 binary64) x) |
| 57.9% | 3 | x |
| 76.4% | 4 | y |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
3 calls:
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 74.0% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 74.2% | 3 | y |
Compiled 27 to 17 computations (37% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
5 calls:
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.3% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 41.3% | 1 | x |
| 41.3% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 41.3% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 41.3% | 1 | y |
Compiled 35 to 23 computations (34.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5625.936989088795 | 11258437147249514.0 |
| 7.0ms | -402942.49951575155 | -100957.11424457138 |
| 11.0ms | 240× | 0 | valid |
Compiled 481 to 313 computations (34.9% saved)
ival-div: 2.0ms (30.9% of total)ival-sub: 2.0ms (30.9% of total)ival-add: 1.0ms (15.5% of total)ival-mult: 1.0ms (15.5% 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 | 5625.936989088795 | 11258437147249514.0 |
| 5.0ms | -402942.49951575155 | -100957.11424457138 |
| 3.0ms | 64× | 0 | valid |
Compiled 451 to 298 computations (33.9% saved)
ival-sub: 1.0ms (56.2% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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 |
|---|---|---|
| 57.0ms | 5625.936989088795 | 11258437147249514.0 |
| 14.0ms | -8893451437973.299 | -48823166838.96539 |
| 44.0ms | 156× | 0 | valid |
| 18.0ms | 100× | 1 | valid |
Compiled 414 to 275 computations (33.6% saved)
ival-sub: 47.0ms (84.9% of total)adjust: 2.0ms (3.6% of total)ival-div: 2.0ms (3.6% of total)ival-mult: 2.0ms (3.6% of total)ival-add: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 285.9963924791966 | 5625.936989088795 |
| 3.0ms | -402942.49951575155 | -100957.11424457138 |
| 39.0ms | 144× | 0 | valid |
Compiled 297 to 198 computations (33.3% saved)
ival-sub: 2.0ms (49.3% of total)ival-div: 1.0ms (24.7% of total)ival-add: 1.0ms (24.7% of total)ival-mult: 1.0ms (24.7% 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 |
|---|---|---|
| 34.0ms | 0.10151215556629174 | 8.897958862523712 |
| 12.0ms | -100957.11424457138 | -5.393045187735924e-5 |
| 37.0ms | 256× | 0 | valid |
Compiled 416 to 269 computations (35.3% saved)
ival-sub: 27.0ms (84.9% of total)ival-div: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-add: 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.10151215556629174 | 8.897958862523712 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
Compiled 352 to 237 computations (32.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.10151215556629174 | 8.897958862523712 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
| 26.0ms | 96× | 0 | valid |
Compiled 336 to 221 computations (34.2% saved)
ival-add: 22.0ms (92.6% of total)ival-div: 1.0ms (4.2% of total)ival-sub: 1.0ms (4.2% of total)ival-mult: 1.0ms (4.2% 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 |
|---|---|---|
| 0.0ms | 0.10151215556629174 | 8.897958862523712 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
Compiled 336 to 205 computations (39% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.10151215556629174 | 8.897958862523712 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
Compiled 256 to 173 computations (32.4% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.10151215556629174 | 8.897958862523712 |
| 37.0ms | 7.947743398856463e-55 | 4.5559884743871276e-54 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
| 36.0ms | 144× | 0 | valid |
Compiled 275 to 173 computations (37.1% saved)
ival-sub: 2.0ms (50.2% of total)ival-div: 1.0ms (25.1% of total)ival-add: 1.0ms (25.1% of total)ival-mult: 1.0ms (25.1% 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 |
|---|---|---|
| 5.0ms | 1.5788361705310008e-23 | 2.823892317302401e-23 |
| 1.0ms | -100957.11424457138 | -5.393045187735924e-5 |
| 3.0ms | 64× | 0 | valid |
Compiled 146 to 104 computations (28.8% saved)
ival-sub: 1.0ms (59.8% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 16× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 725 |
| 1 | 131 | 725 |
| 2 | 155 | 725 |
| 3 | 167 | 725 |
| 4 | 173 | 725 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -105000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -330000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -50000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 35000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -120000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 5500 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -105000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) y))) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -105000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -330000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)))) |
(if (<=.f64 y #s(literal -330000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) (if (<=.f64 y #s(literal 470000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) |
(if (<=.f64 y #s(literal -50000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 35000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -120000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 5500 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y (*.f64 y x)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (+.f64 x (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ x (/ (- 1 x) y)) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 5854679515581645/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ 1 y)) x) (*.f64 y x))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x))) |
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) |
| 20 462× | lower-fma.f64 |
| 20 462× | lower-fma.f32 |
| 13 336× | lower-fma.f64 |
| 13 336× | lower-fma.f32 |
| 6 332× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 533 | 31 |
| 0 | 8517 | 30 |
| 0 | 280 | 3741 |
| 1 | 873 | 3241 |
| 2 | 2603 | 2832 |
| 0 | 8233 | 2702 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 681 to 286 computations (58% saved)
Compiled 792 to 206 computations (74% saved)
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