
Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 7 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 8 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 9 |
| 87.1% | 87% | 12.9% | 0.1% | 0% | 0% | 0% | 10 |
| 91.2% | 91.1% | 8.8% | 0.1% | 0% | 0% | 0% | 11 |
| 93.3% | 93.2% | 6.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 19 to 11 computations (42.1% saved)
| 835.0ms | 8 256× | 0 | valid |
ival-mult: 253.0ms (54.4% of total)ival-add: 147.0ms (31.6% of total)ival-div: 50.0ms (10.8% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 80 | 0 | - | 5 | (-8.871907158848918e-70 1.657755423249458e+122) | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | o/o | 30 | 0 |
| ↳ | (*.f64 x y) | overflow | 30 | |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | overflow | 138 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | overflow | 110 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | n/o | 23 | 0 |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | overflow | 138 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | overflow | 110 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | u/n | 14 | 0 |
| ↳ | (*.f64 x y) | underflow | 22 | |
/.f64 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | u/u | 8 | 0 |
| ↳ | (*.f64 x y) | underflow | 22 | |
| ↳ | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | underflow | 8 | |
| ↳ | (*.f64 (+.f64 x y) (+.f64 x y)) | underflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 5 |
| - | 0 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 5 |
| - | 0 | 0 | 176 |
| number | freq |
|---|---|
| 0 | 181 |
| 1 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 174 to 46 computations (73.6% saved)
ival-mult: 9.0ms (45.5% of total)ival-add: 5.0ms (25.3% of total)ival-div: 4.0ms (20.2% of total)adjust: 0.0ms (0% 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 |
| 33 688× | lower-fma.f64 |
| 33 688× | lower-fma.f32 |
| 8 042× | lower-+.f32 |
| 8 038× | lower-+.f64 |
| 4 368× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 97 |
| 1 | 129 | 87 |
| 2 | 718 | 85 |
| 3 | 4217 | 85 |
| 0 | 9 | 17 |
| 0 | 15 | 17 |
| 1 | 44 | 17 |
| 2 | 168 | 17 |
| 3 | 544 | 17 |
| 4 | 2286 | 17 |
| 5 | 3087 | 17 |
| 6 | 3462 | 17 |
| 7 | 3548 | 17 |
| 8 | 3577 | 17 |
| 9 | 3617 | 17 |
| 10 | 7692 | 17 |
| 11 | 7814 | 17 |
| 12 | 7833 | 17 |
| 13 | 7834 | 17 |
| 14 | 7834 | 17 |
| 15 | 7849 | 17 |
| 16 | 7849 | 17 |
| 17 | 7849 | 17 |
| 0 | 9415 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(sort x y)
Compiled 17 to 9 computations (47.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 17 to 9 computations (47.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (+.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 33 688× | lower-fma.f64 |
| 33 688× | lower-fma.f32 |
| 8 042× | lower-+.f32 |
| 8 038× | lower-+.f64 |
| 4 368× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 51 |
| 0 | 15 | 51 |
| 1 | 44 | 51 |
| 2 | 168 | 51 |
| 3 | 544 | 51 |
| 4 | 2286 | 51 |
| 5 | 3087 | 51 |
| 6 | 3462 | 51 |
| 7 | 3548 | 51 |
| 8 | 3577 | 51 |
| 9 | 3617 | 51 |
| 10 | 7692 | 51 |
| 11 | 7814 | 51 |
| 12 | 7833 | 51 |
| 13 | 7834 | 51 |
| 14 | 7834 | 51 |
| 15 | 7849 | 51 |
| 16 | 7849 | 51 |
| 17 | 7849 | 51 |
| 0 | 9415 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (+.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (*.f64 (+.f64 x y) (+.f64 x y)) | |
| accuracy | 0.046875 | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 18.62530600031769 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 18.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 53 to 11 computations (79.2% saved)
ival-mult: 5.0ms (55% of total)ival-div: 2.0ms (22% of total)ival-add: 2.0ms (22% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* x y)) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ y (* 2 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x y)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (+.f64 x y)) (patch (*.f64 (+.f64 x y) (+.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ 1 x) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ 1 x) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ 1 x) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (+ (+ x y) 1)) |
| 3.0ms | x | @ | -inf | ((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (+ (+ x y) 1)) |
| 2.0ms | y | @ | -inf | ((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (+ (+ x y) 1)) |
| 2.0ms | x | @ | inf | ((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (+ (+ x y) 1)) |
| 2.0ms | y | @ | inf | ((/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (* x y) (* (+ x y) (+ x y)) (+ x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (+ (+ x y) 1)) |
| 1× | egg-herbie |
| 9 930× | lower-fma.f64 |
| 9 930× | lower-fma.f32 |
| 6 062× | lower-*.f64 |
| 6 062× | lower-*.f32 |
| 4 138× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 2666 |
| 1 | 1532 | 2578 |
| 2 | 6455 | 2536 |
| 0 | 8479 | 2309 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(+ (* 2 (* x y)) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* (pow x 2) (+ 1 x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(+ 1 x) |
(+ 1 (+ x y)) |
(+ 1 (+ x y)) |
(+ 1 (+ x y)) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(pow y 3) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
y |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(/ x (pow y 2)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow y 2) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(pow y 3) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(/ x (* y (+ 1 y))) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow y 2) |
(+ (* 2 (* x y)) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* (pow y 2) (+ 1 y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(+ 1 y) |
(+ 1 (+ x y)) |
(+ 1 (+ x y)) |
(+ 1 (+ x y)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
| Outputs |
|---|
(/ y (* x (+ 1 x))) |
(/.f64 y (fma.f64 x x x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x)) y (/.f64 y (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x)))) (*.f64 (fma.f64 x x x) x))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x))) (*.f64 (fma.f64 x x x) x)) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) x)) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x)))) (*.f64 (fma.f64 x x x) x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x)))) (*.f64 (fma.f64 x x x) x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) x))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x x) x))))) (/.f64 y (fma.f64 x x x))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(+ (* 2 (* x y)) (pow x 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(+ (* y (+ y (* 2 x))) (pow x 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) y (*.f64 (fma.f64 x x x) x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (* 2 x)))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (+.f64 y (*.f64 (fma.f64 #s(literal 3 binary64) y x) x))) y (*.f64 (fma.f64 x x x) x)) |
(+ (* y (+ (* 2 (* x (+ 1 x))) (+ (* y (+ 1 (+ x (+ y (* 2 x))))) (pow x 2)))) (* (pow x 2) (+ 1 x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (fma.f64 x x (fma.f64 (fma.f64 #s(literal 3 binary64) x y) y y))) y (*.f64 (fma.f64 x x x) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))) (pow y 2)))) (/ (* x (+ 1 (+ x (* 2 x)))) y)) (pow y 2)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (/.f64 x y) (-.f64 x (/.f64 (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) x)) (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ x (* -1 (/ (+ (* -1 (* x (* (+ 1 (+ x (* 2 x))) (+ (* 2 (* x (+ 1 x))) (pow x 2))))) (+ (* -1 (* (+ 1 (+ x (* 2 x))) (+ (* -1 (* x (pow (+ 1 (+ x (* 2 x))) 2))) (* x (+ (* 2 (* x (+ 1 x))) (pow x 2)))))) (* (pow x 3) (+ 1 x)))) (pow y 3)))) (+ (* -1 (/ (* x (pow (+ 1 (+ x (* 2 x))) 2)) (pow y 2))) (+ (/ (* x (+ 1 (+ x (* 2 x)))) y) (/ (* x (+ (* 2 (* x (+ 1 x))) (pow x 2))) (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) x (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x))))))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y) x (/.f64 (fma.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) (*.f64 x x)) x)) (*.f64 y y)))) (*.f64 y y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64))) y) y) |
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64))) y) y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (/ 1 y) (/ x y))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (/ (pow x 2) (pow y 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 x x x) y) y)) (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(* (pow y 3) (+ 1 (+ (* 2 (/ x y)) (+ (* 2 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (+ (/ x y) (+ (/ (* (pow x 2) (+ 1 x)) (pow y 3)) (/ (pow x 2) (pow y 2))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) (/.f64 (/.f64 (fma.f64 x x x) y) y)) (+.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (*.f64 (fma.f64 x x x) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) |
y |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(+.f64 (fma.f64 (/.f64 x y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(+.f64 (fma.f64 (/.f64 x y) y #s(literal 1 binary64)) y) |
(* y (+ 1 (+ (/ 1 y) (/ x y)))) |
(+.f64 (fma.f64 (/.f64 x y) y #s(literal 1 binary64)) y) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ (+ x (* -1 (/ (* x (+ 1 (+ x (* 2 x)))) y))) (pow y 2)) |
(/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 #s(literal -2 binary64) (fma.f64 x x x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) y) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)) y)) (*.f64 y y)) |
(/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* x (* (+ 1 (+ x (* 2 x))) (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))))) (+ (* (+ 1 (+ x (* 2 x))) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) (* (pow x 3) (+ 1 x)))) y)) (+ (* x (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2)))) (* x (pow (+ 1 (+ x (* 2 x))) 2)))) y)) (* x (+ 1 (+ x (* 2 x))))) y))) (pow y 2)) |
(/.f64 (-.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (fma.f64 #s(literal -2 binary64) (fma.f64 x x x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) (fma.f64 x x x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) x (fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (fma.f64 #s(literal -2 binary64) (fma.f64 x x x) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 y))) (neg.f64 y))) y)) (*.f64 y y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* 2 (/ x y)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (*.f64 #s(literal -2 binary64) x)) y)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (*.f64 #s(literal -2 binary64) x)) y)) (*.f64 y y)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(pow y 3) |
(pow.f64 y #s(literal 3 binary64)) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (* 2 x))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (* -1 (pow x 2))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal -2 binary64) (fma.f64 x x x))) y)) y))) (pow.f64 y #s(literal 3 binary64))) |
(* -1 (* (pow y 3) (- (* -1 (/ (+ 1 (+ x (+ (* -1 (/ (+ (* -2 (* x (+ 1 x))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (pow x 2)))) y)) (* 2 x)))) y)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 x x x) (neg.f64 (fma.f64 x x (/.f64 (*.f64 (fma.f64 x x x) x) y)))) y)) y))) (pow.f64 y #s(literal 3 binary64))) |
y |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y))) |
(/ x (* y (+ 1 y))) |
(/.f64 x (fma.f64 y y y)) |
(* x (+ (* -1 (* x (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)) x (/.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))) (/.f64 (*.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y))) x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) x (/.f64 #s(literal 1 binary64) (fma.f64 y y y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* y (+ 1 y))) (pow y 2)) (+ (/ 1 (* y (pow (+ 1 y) 2))) (* 2 (/ 1 (* (pow y 2) (+ 1 y)))))) (* (pow y 2) (+ 1 y)))) (+ (* 3 (/ 1 (* (pow y 2) (pow (+ 1 y) 2)))) (/ 1 (* (pow y 3) (pow (+ 1 y) 2))))))) (+ (* 2 (/ 1 (* (pow y 2) (+ 1 y)))) (/ 1 (* y (pow (+ 1 y) 2)))))) (/ 1 (* y (+ 1 y))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) (*.f64 (fma.f64 y y y) y)) (-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y)))) (-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y)))) (*.f64 (fma.f64 y y y) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y) y))))) x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y y) y))))) x) x (/.f64 x (fma.f64 y y y))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow y 2) |
(*.f64 y y) |
(+ (* 2 (* x y)) (pow y 2)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
(+ (* x (+ x (* 2 y))) (pow y 2)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x)) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(* (pow y 2) (+ 1 y)) |
(*.f64 (fma.f64 y y y) y) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (pow y 2))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) x (*.f64 (fma.f64 y y y) y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ y (* 2 y)))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y))) x (*.f64 (fma.f64 y y y) y)) |
(+ (* x (+ (* 2 (* y (+ 1 y))) (+ (* x (+ 1 (+ x (+ y (* 2 y))))) (pow y 2)))) (* (pow y 2) (+ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (fma.f64 y y (fma.f64 (fma.f64 #s(literal 3 binary64) y x) x x))) x (*.f64 (fma.f64 y y y) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+ 1 (+ x y)) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) (/.f64 y x) (-.f64 y (/.f64 (fma.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) y)) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y))) (fma.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64)) y (*.f64 (neg.f64 y) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y))))))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x) y (/.f64 (fma.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 y y y) #s(literal 2 binary64) (*.f64 y y)) y)) (*.f64 x x)))) (*.f64 x x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))) x) x) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 x x)) (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64))) x) x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 y x) (/.f64 (/.f64 (fma.f64 y y y) x) x)) (fma.f64 (/.f64 y x) (/.f64 y x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 y x) (/.f64 (/.f64 (fma.f64 y y y) x) x)) (+.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (/.f64 (*.f64 (fma.f64 y y y) y) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(+.f64 (fma.f64 (/.f64 y x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(+.f64 (fma.f64 (/.f64 y x) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(+.f64 (fma.f64 (/.f64 y x) x #s(literal 1 binary64)) x) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (neg.f64 y) y (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 (fma.f64 (neg.f64 y) y (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) y (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) y) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (*.f64 #s(literal -2 binary64) y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (*.f64 #s(literal -2 binary64) y)) x)) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (neg.f64 (fma.f64 y y (/.f64 (*.f64 (fma.f64 y y y) y) x)))) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) x))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) x))) |
| 7 780× | lower-fma.f64 |
| 7 780× | lower-fma.f32 |
| 5 558× | lower-*.f32 |
| 5 552× | lower-*.f64 |
| 4 498× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 48 |
| 0 | 15 | 42 |
| 1 | 76 | 42 |
| 2 | 666 | 42 |
| 0 | 8864 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(*.f64 (+.f64 x y) (+.f64 x y)) |
(+.f64 x y) |
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) y) x) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) y) |
(*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) x) (pow.f64 (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 y (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) y) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y x))) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
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(*.f64 (/.f64 (/.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(+.f64 (+.f64 #s(literal 1 binary64) x) y) |
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) y) x) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 (+.f64 y x) #s(literal 1 binary64)) |
(+.f64 y (+.f64 x #s(literal 1 binary64))) |
(+.f64 y (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x (+.f64 #s(literal 1 binary64) y)) |
Compiled 36 286 to 3 769 computations (89.6% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 158 | 22 | 1 180 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 158 | 23 | 1 181 |
| Status | Accuracy | Program |
|---|---|---|
| 75.7% | (/.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ▶ | 92.7% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
| 99.8% | (/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x)) | |
| 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 57.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) | |
| 41.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ▶ | 34.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 25.4% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (pow.f64 x #s(literal 3 binary64)))) | |
| 38.0% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| 99.6% | (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (+.f64 y x) y)) #s(literal -1 binary64))) | |
| ▶ | 75.7% | (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
| 92.7% | (*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 99.7% | (*.f64 (/.f64 y (+.f64 y x)) (*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) | |
| ▶ | 99.8% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 99.7% | (*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 y (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) | |
| 34.3% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x)) | |
| 34.9% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) | |
| 46.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) | |
| 35.7% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) | |
| 50.6% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) | |
| ▶ | 37.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
Compiled 669 to 409 computations (38.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 y (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 y x)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) |
| 16 948× | lower-fma.f64 |
| 16 948× | lower-fma.f32 |
| 3 272× | lower-*.f32 |
| 3 270× | lower-+.f32 |
| 3 262× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 259 |
| 0 | 56 | 257 |
| 1 | 156 | 257 |
| 2 | 435 | 257 |
| 3 | 1084 | 257 |
| 4 | 3876 | 257 |
| 5 | 4529 | 257 |
| 6 | 4773 | 257 |
| 7 | 4824 | 257 |
| 8 | 4850 | 257 |
| 9 | 4850 | 257 |
| 10 | 6320 | 257 |
| 11 | 6422 | 257 |
| 12 | 6429 | 257 |
| 13 | 6523 | 257 |
| 14 | 6523 | 257 |
| 15 | 6523 | 257 |
| 16 | 6778 | 257 |
| 17 | 6851 | 257 |
| 18 | 6853 | 257 |
| 19 | 7397 | 257 |
| 20 | 7944 | 257 |
| 0 | 8047 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
y |
(+.f64 y x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) y) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
y |
(+.f64 y x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(*.f64 y x) |
y |
x |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) | |
| accuracy | 0.8355778561563212 | (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| accuracy | 4.357654960493424 | (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| accuracy | 12.450644096920396 | (/.f64 (*.f64 y x) (+.f64 y x)) | |
| accuracy | 0.015625 | (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 4.650469849985342 | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| accuracy | 6.796812504209173 | (*.f64 (/.f64 y (+.f64 y x)) x) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.046875 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 18.62530600031769 | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 28.99562983081152 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.809337101743243 | (/.f64 x (*.f64 y y)) | |
| accuracy | 38.93108514215261 | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.03125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| accuracy | 0.07421875 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
| 55.0ms | 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 243 to 28 computations (88.5% saved)
ival-div: 17.0ms (45.5% of total)ival-mult: 15.0ms (40.1% of total)ival-add: 5.0ms (13.4% of total)adjust: 0.0ms (0% 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) (patch #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 y y)) (patch (/.f64 x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (patch #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 y x)) x) (patch (*.f64 (/.f64 y (+.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 y x)) (patch (/.f64 y (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (+.f64 y x)) (patch (/.f64 (*.f64 y x) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (+.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (patch (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (patch (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | ((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ y (+ y x)) x) (/ y (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (/ (* y x) (+ y x)) (* y x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (+ (+ x y) 1) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) |
| 4.0ms | x | @ | -inf | ((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ y (+ y x)) x) (/ y (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (/ (* y x) (+ y x)) (* y x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (+ (+ x y) 1) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) |
| 4.0ms | y | @ | inf | ((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ y (+ y x)) x) (/ y (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (/ (* y x) (+ y x)) (* y x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (+ (+ x y) 1) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) |
| 4.0ms | x | @ | inf | ((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ y (+ y x)) x) (/ y (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (/ (* y x) (+ y x)) (* y x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (+ (+ x y) 1) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) |
| 3.0ms | y | @ | -inf | ((/ x (+ y x)) (+ y x) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/ x (* y y)) (* y y) (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (* (+ x y) (+ x y)) (* x x) (* (/ y (+ y x)) x) (/ y (+ y x)) (* (+ 1 (+ y x)) (+ y x)) (/ (* y x) (+ y x)) (* y x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (+ (+ x y) 1) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ (* y x) (+ y x)) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) (/ 1 (* (+ 1 (+ y x)) (+ y x)))) |
| 1× | egg-herbie |
| 9 744× | lower-fma.f64 |
| 9 744× | lower-fma.f32 |
| 5 712× | lower-*.f64 |
| 5 712× | lower-*.f32 |
| 5 058× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1077 | 12890 |
| 1 | 3784 | 12281 |
| 0 | 8633 | 11597 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
x |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(* x (+ 1 (+ (/ 1 x) (/ y x)))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 1 (* 2 y)) x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (* 2 y)) 2)) (* y (+ 1 y))) (pow x 2)))) (+ (* 2 (/ y x)) (/ 1 x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* y (* (+ 1 y) (+ 1 (* 2 y))))) (* -1 (* (+ 1 (* 2 y)) (+ (* -1 (pow (+ 1 (* 2 y)) 2)) (* y (+ 1 y)))))) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* 2 y)) 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (/ 1 x) (/ (* y (+ 1 y)) (pow x 2)))))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ y (pow x 2)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(/ x (pow y 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
y |
(+ y (* -1 (/ (pow y 2) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (+ 1 y))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
y |
(+ y (* -1 (/ (pow y 2) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (+ 1 y) x)))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 y) (* -1 (+ 1 y))) 2) x)) (/ (* y (+ 1 y)) x)) (+ (* -1 y) (* -1 (+ 1 y)))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x)) (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) (* y (+ 1 y)))) x))) (+ (* -1 (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) (* y (+ 1 y)))) x)) (+ (* -1 y) (* -1 (+ 1 y)))) x))) (pow x 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ y (* x (+ 1 x))) |
(/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))))) y (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (* x (+ 1 x))))))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))))) y (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(/ y (+ 1 x)) |
(/.f64 y (+.f64 x #s(literal 1 binary64))) |
(* y (+ (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (+ 1 x)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) y) |
(* y (+ (* y (- (/ y (pow (+ 1 x) 3)) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) y) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow (+ 1 x) 4))) (/ 1 (pow (+ 1 x) 3)))) (/ 1 (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) y) |
(/ y (* x (+ 1 x))) |
(/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
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(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
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(-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x)) |
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) |
(-.f64 y (/.f64 (fma.f64 y y (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) (neg.f64 x))) x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) x)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) x)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1 y) x)) 1))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal 1 binary64)) (neg.f64 x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) x)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) x)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 y #s(literal 1 binary64))) y (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (+ 1 y) x)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 y #s(literal 1 binary64)) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -1 y) (* -1 (+ 1 y))) 2) x)) (/ (* y (+ 1 y)) x)) (+ (* -1 y) (* -1 (+ 1 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)) (neg.f64 x))) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x)) (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) (* y (+ 1 y)))) x))) (+ (* -1 (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) (* y (+ 1 y)))) x)) (+ (* -1 y) (* -1 (+ 1 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y)) (/.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y (neg.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)))) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y (neg.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64))))) (neg.f64 x)) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (*.f64 x x)) |
| 6 098× | lower-/.f32 |
| 6 080× | lower-/.f64 |
| 3 428× | lower-*.f32 |
| 3 410× | lower-*.f64 |
| 3 012× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 212 |
| 0 | 55 | 196 |
| 1 | 273 | 196 |
| 2 | 2340 | 196 |
| 0 | 8171 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(*.f64 x y) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) |
(/.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 y x) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
| Outputs |
|---|
(*.f64 (/.f64 x (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y)) |
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 y x) x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x))) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 x (neg.f64 (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 y) y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (+.f64 y x) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) (/.f64 (/.f64 (+.f64 y x) y) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 (+.f64 y x) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 y x) y) x) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) x) (/.f64 (/.f64 y (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 y x) x) (+.f64 y x)) (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) (/.f64 (/.f64 (+.f64 y x) y) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 y x) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y))) |
(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y (+.f64 y x))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 (pow.f64 (+.f64 y x) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(neg.f64 (/.f64 (*.f64 y x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) (+.f64 y x))) (/.f64 (*.f64 y x) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)) (+.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (neg.f64 (+.f64 y x)))) (/.f64 (*.f64 y x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (neg.f64 (+.f64 y x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) (/.f64 (*.f64 (neg.f64 x) (/.f64 y (+.f64 y x))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (-.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (+.f64 y x)) (log.f64 (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)) |
(/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 (+.f64 y x)) (log.f64 (+.f64 y x))) #s(literal -1 binary64))) |
Compiled 95 743 to 7 147 computations (92.5% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 461 | 18 | 3 479 |
| Fresh | 9 | 8 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 472 | 30 | 3 502 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 92.7% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
| 62.0% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| 67.1% | (/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| 88.2% | (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (/.f64 (+.f64 y x) x))) | |
| ▶ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 57.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) | |
| 41.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| ✓ | 34.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 33.0% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) | |
| 38.0% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))))) | |
| 29.1% | (*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) | |
| 92.7% | (*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 40.5% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) | |
| 46.9% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 52.4% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) | |
| ▶ | 39.5% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| 62.6% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| ▶ | 48.9% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 46.0% | (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| ▶ | 35.7% | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
| 39.1% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| 46.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) | |
| 50.6% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) | |
| ✓ | 37.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
Compiled 794 to 503 computations (36.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| cost-diff | 384 | (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) | |
| cost-diff | 0 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) |
| 10 702× | lower-fma.f32 |
| 10 700× | lower-fma.f64 |
| 5 186× | lower-*.f32 |
| 5 172× | lower-*.f64 |
| 1 818× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 0 | 61 | 246 |
| 1 | 135 | 246 |
| 2 | 348 | 246 |
| 3 | 994 | 246 |
| 4 | 4294 | 246 |
| 5 | 4749 | 246 |
| 6 | 5307 | 246 |
| 7 | 6095 | 246 |
| 8 | 6152 | 246 |
| 9 | 6158 | 246 |
| 10 | 6760 | 246 |
| 11 | 7009 | 246 |
| 12 | 7098 | 246 |
| 13 | 7990 | 246 |
| 0 | 8007 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (+.f64 y x) y) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
y |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
x |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) |
(+.f64 y x) |
(*.f64 (+.f64 y x) x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 x y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
(*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (+.f64 y x) y) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
x |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 y x))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
y |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
x |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) |
(*.f64 (+.f64 y x) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 (+.f64 y x) x) |
(+.f64 (+.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (+.f64 y x) x) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 2.499972476055602 | (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) | |
| accuracy | 18.62530600031769 | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.0703125 | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| accuracy | 0.07421875 | (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) | |
| accuracy | 33.28303006667921 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.03125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.0703125 | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 38.704197685805504 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 7.011285334035817 | (/.f64 y (*.f64 x x)) | |
| accuracy | 40.632497343397716 | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) | |
| accuracy | 0.015625 | (/.f64 (+.f64 y x) y) | |
| accuracy | 0.03125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.03125 | (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 0.1943560706596043 | (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
| 97.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 242 to 29 computations (88% saved)
ival-mult: 56.0ms (70.2% of total)ival-div: 17.0ms (21.3% of total)ival-add: 6.0ms (7.5% of total)adjust: 0.0ms (0% 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 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) (patch #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 x x)) (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) (patch #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) (patch #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) (patch #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) (patch #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 x x)) (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 x x)) (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 x x)) (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor 0 y) (#s(alt (/.f64 y (*.f64 x x)) (patch (/.f64 y (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (* -1 (/ (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (* x (+ 1 x))))))) (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (patch (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 2 (/ y x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (patch (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ y (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) (patch (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/ y (* x x)) (* x x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (/ y (+ 1 (+ y x))) (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (+ (* (+ y x) y) (* (+ y x) x)) (/ (* x y) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1))) (* x y) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1)) (* (+ y x) x)) |
| 2.0ms | x | @ | -inf | ((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/ y (* x x)) (* x x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (/ y (+ 1 (+ y x))) (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (+ (* (+ y x) y) (* (+ y x) x)) (/ (* x y) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1))) (* x y) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1)) (* (+ y x) x)) |
| 2.0ms | y | @ | 0 | ((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/ y (* x x)) (* x x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (/ y (+ 1 (+ y x))) (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (+ (* (+ y x) y) (* (+ y x) x)) (/ (* x y) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1))) (* x y) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1)) (* (+ y x) x)) |
| 2.0ms | y | @ | inf | ((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/ y (* x x)) (* x x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (/ y (+ 1 (+ y x))) (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (+ (* (+ y x) y) (* (+ y x) x)) (/ (* x y) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1))) (* x y) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1)) (* (+ y x) x)) |
| 2.0ms | x | @ | inf | ((/ x (+ y x)) (+ y x) (* (/ (+ y x) y) (+ 1 (+ y x))) (/ (+ y x) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/ y (* x x)) (* x x) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ (/ y (+ 1 (+ y x))) (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ y (+ 1 (+ y x))) (+ (* (+ y x) y) (* (+ y x) x)) (/ (* x y) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1))) (* x y) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (* (+ (* (+ y x) y) (* (+ y x) x)) (+ (+ x y) 1)) (* (+ y x) x)) |
| 1× | egg-herbie |
| 8 338× | lower-fma.f64 |
| 8 338× | lower-fma.f32 |
| 6 230× | lower-+.f64 |
| 6 230× | lower-+.f32 |
| 6 208× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 875 | 12328 |
| 1 | 3074 | 11776 |
| 0 | 8369 | 10911 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
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(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ y (pow x 2)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ (* x (+ 1 x)) y) |
(/.f64 (fma.f64 x x x) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) y (fma.f64 x x x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64)) y (fma.f64 x x x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64)) y (fma.f64 x x x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 x y) y) |
(/ y (* x (+ 1 x))) |
(/.f64 y (fma.f64 x x x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))) (/.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (* x (+ 1 x))) |
(/.f64 y (fma.f64 x x x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))) (/.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (fma.f64 (neg.f64 (fma.f64 (fma.f64 x x x) #s(literal 2 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(/ y (* x (+ 1 x))) |
(/.f64 y (fma.f64 x x x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (* 2 x)) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2))))) (* x (+ 1 x)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (+ (* 2 (/ 1 (* x (pow (+ 1 x) 2)))) (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
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(/.f64 (fma.f64 y (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) x) y) (*.f64 x x)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 (fma.f64 (neg.f64 y) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)) x) (/.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) x)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) y)) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) (/.f64 (fma.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)) (neg.f64 y) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal 2 binary64)) y)) (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) y)) x)) (*.f64 x x)) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (/ (* y (+ 1 y)) x)) x)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 y y y) x)) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (+ 1 y) 2)) x) (* y (+ 1 y))) x))) x)) |
(/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 y #s(literal 1 binary64)))) (neg.f64 x)) y) (neg.f64 x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ 1 y) 3)) x) (* y (pow (+ 1 y) 2))) x)) (* y (+ 1 y))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) (fma.f64 y y y)) (neg.f64 x)) y) (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (neg.f64 y) y) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) y (/.f64 (*.f64 (neg.f64 y) y) x)) x)) (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y (/.f64 (fma.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64)))) (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64))) y (fma.f64 (*.f64 y (+.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 y y y) #s(literal -2 binary64))))) (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 x))) (neg.f64 x))) x)) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (*.f64 (fma.f64 y y y) #s(literal -2 binary64)) #s(literal -1 binary64) (*.f64 y y)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 3 binary64) y (/.f64 (fma.f64 (fma.f64 y y y) #s(literal -2 binary64) (neg.f64 (fma.f64 y y (/.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) x)))) (neg.f64 x))) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
| 7 008× | lower-/.f32 |
| 6 992× | lower-/.f64 |
| 2 830× | lower-fma.f32 |
| 2 828× | lower-fma.f64 |
| 2 806× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 206 |
| 0 | 61 | 197 |
| 1 | 254 | 187 |
| 2 | 2549 | 187 |
| 0 | 8628 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (+.f64 y x)) |
(+.f64 y x) |
(*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (+.f64 y x) y) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) |
(/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
(fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 x y) |
(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64))) |
(*.f64 (+.f64 y x) x) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y x))) |
(*.f64 x (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 y x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (/.f64 (neg.f64 x) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) |
(/.f64 (/.f64 x (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 x (+.f64 y x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (/.f64 (neg.f64 x) (+.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 1 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) (*.f64 y (*.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
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(fma.f64 (pow.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) y)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (*.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x)) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (*.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) y))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(fma.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (*.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) x) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (*.f64 (*.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(+.f64 (*.f64 x (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) y)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) x))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) y))) |
(+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) |
(*.f64 (+.f64 y x) x) |
(*.f64 x (+.f64 y x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) x)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x) (-.f64 x y)) |
(/.f64 (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) x) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))) (-.f64 y x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 x (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 x (fma.f64 y y (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y x)) |
(fma.f64 y x (*.f64 x x)) |
(fma.f64 x y (*.f64 x x)) |
(fma.f64 x x (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y x)) |
Compiled 62 137 to 5 781 computations (90.7% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 253 | 15 | 2 268 |
| Fresh | 11 | 10 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 2 266 | 32 | 2 298 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
| 75.2% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) | |
| ▶ | 99.7% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
| 52.4% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 92.7% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
| ▶ | 62.0% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
| 61.5% | (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 57.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) | |
| 70.6% | (/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 41.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 33.0% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) | |
| 38.0% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| 48.7% | (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) | |
| 40.5% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) | |
| 46.9% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) | |
| 62.6% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) | |
| ▶ | 39.1% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 48.9% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 37.1% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) | |
| 5.2% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) | |
| ▶ | 4.2% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 46.0% | (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
| 90.1% | (*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 46.8% | #s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) | |
| 50.6% | #s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) | |
| 36.5% | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) | |
| ✓ | 35.7% | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
| 39.1% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| ✓ | 37.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
Compiled 737 to 499 computations (32.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (+.f64 y x)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (+.f64 y x)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (*.f64 (+.f64 y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| cost-diff | 0 | (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| cost-diff | 0 | (/.f64 x (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) | |
| cost-diff | 64 | (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) | |
| cost-diff | 704 | (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
| 11 720× | lower-fma.f32 |
| 11 718× | lower-fma.f64 |
| 3 784× | lower-*.f32 |
| 3 770× | lower-*.f64 |
| 2 902× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 370 |
| 0 | 67 | 370 |
| 1 | 130 | 370 |
| 2 | 286 | 370 |
| 3 | 696 | 370 |
| 4 | 1562 | 360 |
| 5 | 2884 | 360 |
| 6 | 4129 | 360 |
| 7 | 4976 | 360 |
| 8 | 5134 | 360 |
| 9 | 5149 | 360 |
| 10 | 5155 | 357 |
| 11 | 5924 | 357 |
| 12 | 5946 | 357 |
| 13 | 6906 | 357 |
| 14 | 7228 | 357 |
| 15 | 7268 | 357 |
| 16 | 7285 | 357 |
| 17 | 7797 | 357 |
| 0 | 8141 | 354 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64))) |
(+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) |
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 2 binary64) (/.f64 x y)) |
#s(literal 2 binary64) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
y |
(/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
x |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
y |
(+.f64 y x) |
x |
#s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y) (+.f64 y x)))) |
(/.f64 x (+.f64 y x)) |
x |
(+.f64 y x) |
y |
#s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64))) |
#s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y) (+.f64 y x))) |
(+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) y) (+.f64 y x)) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) |
(fma.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) x y) |
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (/.f64 x y)) |
(+.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) y) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) |
y |
(/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) |
x |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(+.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
y |
(+.f64 y x) |
x |
#s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) |
#s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) y) |
(fma.f64 y y y) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f64 y (+.f64 y x)) | |
| accuracy | 4.650469849985342 | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| accuracy | 6.796812504209173 | (*.f64 (/.f64 y (+.f64 y x)) x) | |
| accuracy | 28.46396955663543 | #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) | |
| accuracy | 0.046875 | (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) | |
| accuracy | 5.866420319634377 | (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) | |
| accuracy | 6.991587403805176 | (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| accuracy | 28.99562983081152 | #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0703125 | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 30.640372821583362 | #s(approx (/ x (+ y x)) (/.f64 x y)) | |
| accuracy | 38.704197685805504 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0703125 | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 33.28303006667921 | #s(approx (/ x (+ y x)) #s(literal 1 binary64)) | |
| accuracy | 38.704197685805504 | #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.0078125 | (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.03125 | (/.f64 x (+.f64 y x)) | |
| accuracy | 0.05859375 | (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) | |
| accuracy | 0.1943560706596043 | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
| 64.0ms | 254× | 0 | valid |
| 19.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 288 to 34 computations (88.2% saved)
ival-mult: 33.0ms (51.1% of total)ival-div: 15.0ms (23.2% of total)ival-add: 15.0ms (23.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (patch (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.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 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) (patch (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (patch (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (patch #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) y) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) (patch (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (+.f64 y x)) x) (patch (*.f64 (/.f64 y (+.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 y x)) (patch (/.f64 y (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) (patch (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (patch (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) (patch #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ 1 x) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (patch (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ x (* 2 y))) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (patch (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ x (* 2 y))) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (patch (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (+ x (* 2 y))) y) (taylor 0 y) (#s(alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) (patch (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 x)) y) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) (taylor 0 y) (#s(alt (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (* x (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) (patch (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((+ (+ 2 (/ x y)) (/ 1 y)) (+ (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) 1) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ 1 y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ x y) (* y (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x))))) (* (* (+ x y) (+ x y)) (+ 1 (+ y x))) (* (+ x y) (+ x y)) (* x x) (* (+ y 1) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ y (+ y x)) x) (/ y (+ y x)) (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (* (+ 1 (+ y x)) (+ y x))) |
| 4.0ms | y | @ | -inf | ((+ (+ 2 (/ x y)) (/ 1 y)) (+ (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) 1) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ 1 y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ x y) (* y (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x))))) (* (* (+ x y) (+ x y)) (+ 1 (+ y x))) (* (+ x y) (+ x y)) (* x x) (* (+ y 1) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ y (+ y x)) x) (/ y (+ y x)) (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (* (+ 1 (+ y x)) (+ y x))) |
| 3.0ms | x | @ | 0 | ((+ (+ 2 (/ x y)) (/ 1 y)) (+ (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) 1) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ 1 y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ x y) (* y (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x))))) (* (* (+ x y) (+ x y)) (+ 1 (+ y x))) (* (+ x y) (+ x y)) (* x x) (* (+ y 1) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ y (+ y x)) x) (/ y (+ y x)) (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (* (+ 1 (+ y x)) (+ y x))) |
| 2.0ms | x | @ | inf | ((+ (+ 2 (/ x y)) (/ 1 y)) (+ (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) 1) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ 1 y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ x y) (* y (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x))))) (* (* (+ x y) (+ x y)) (+ 1 (+ y x))) (* (+ x y) (+ x y)) (* x x) (* (+ y 1) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ y (+ y x)) x) (/ y (+ y x)) (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (* (+ 1 (+ y x)) (+ y x))) |
| 2.0ms | y | @ | 0 | ((+ (+ 2 (/ x y)) (/ 1 y)) (+ (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) 1) (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/ x (+ y x)) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x)) (/ 1 y) (* (/ x (+ y x)) (/ (/ y (+ 1 (+ y x))) (+ y x))) (/ x (+ y x)) (/ x y) (* y (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x))))) (* (* (+ x y) (+ x y)) (+ 1 (+ y x))) (* (+ x y) (+ x y)) (* x x) (* (+ y 1) y) (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (* (/ y (+ y x)) x) (/ y (+ y x)) (+ (* (+ (+ 2 (/ x y)) (/ 1 y)) x) y) (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (* (+ 1 (+ y x)) (+ y x))) |
| 1× | egg-herbie |
| 9 904× | lower-fma.f64 |
| 9 904× | lower-fma.f32 |
| 5 600× | lower-*.f64 |
| 5 600× | lower-*.f32 |
| 5 294× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1039 | 13609 |
| 1 | 3695 | 12992 |
| 0 | 8548 | 12194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 x) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/ (* x (+ 1 x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/ y (* x (+ 1 x))) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
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(/ x y) |
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x |
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y |
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1 |
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1 |
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(/ x y) |
(/ x y) |
(/ x y) |
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(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) |
(* (pow x 3) (+ 1 (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (+ (/ (* (pow y 2) (+ 1 y)) (pow x 3)) (/ (pow y 2) (pow x 2))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (pow x 2)))) (/ (* y (+ 1 (+ y (* 2 y)))) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (* y (pow (+ 1 (+ y (* 2 y))) 2))) (* y (+ (* 2 (* y (+ 1 y))) (pow y 2)))))) (* (pow y 3) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (* y (pow (+ 1 (+ y (* 2 y))) 2)) (pow x 2))) (+ (/ (* y (+ 1 (+ y (* 2 y)))) x) (/ (* y (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2))))) (pow x 2)) |
y |
(+ y (* -1 (/ (pow y 2) x))) |
(- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) |
(- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) |
(/ y x) |
(/ (+ y (* -1 (/ (pow y 2) x))) x) |
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (+ (/ 1 (* x y)) (/ y (pow x 2)))))) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (+ (/ 1 (* x y)) (/ y (pow x 2)))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 1 (+ y (* 2 y))) x))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ 1 (+ y (* 2 y))) 2)) (+ (* 2 (* y (+ 1 y))) (pow y 2))) (pow x 2)))) (+ (* 2 (/ y x)) (+ (/ 1 x) (/ y x)))) (pow x 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* -1 (pow (+ 1 (+ y (* 2 y))) 2)) (+ (* 2 (* y (+ 1 y))) (pow y 2))))) (+ (* -1 (* (+ 1 (+ y (* 2 y))) (+ (* 2 (* y (+ 1 y))) (pow y 2)))) (* (pow y 2) (+ 1 y)))) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (+ y (* 2 y))) 2) (pow x 2))) (+ (* 2 (/ y x)) (+ (* 2 (/ (* y (+ 1 y)) (pow x 2))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ (* y (+ 1 y)) (pow x 2)))))) |
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (+ (/ 1 x) (/ (* y (+ 1 y)) (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (+ 2 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (/ 1 y)) x)) (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 2 (/ 1 y))) (* -1 (/ (+ 1 y) x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 2 (/ 1 y))) (* -1 (/ (+ 1 y) x))) x)) (/ 1 y))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ y (pow x 2)) |
(/ (+ y (/ (* y (+ (* -1 y) (* -1 (+ 1 y)))) x)) (pow x 2)) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2)) x)) (/ (* (pow y 2) (+ 1 y)) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 y) (* -1 (+ 1 y))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* -1 (/ (* (pow y 2) (* (+ 1 y) (+ (* -1 y) (* -1 (+ 1 y))))) x))) (+ (* -1 (* y (pow (+ (* -1 y) (* -1 (+ 1 y))) 2))) (* (pow y 2) (+ 1 y)))) x)) (* y (+ (* -1 y) (* -1 (+ 1 y))))) x))) (pow x 2)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ y x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (* 2 y))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* 2 y)))) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ y (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (* -1 (pow y 2)))) x)) (* 2 y)))) x)) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 2 (/ y x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y (+ 1 (+ y (* 2 y)))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* y (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))))) (+ (* (+ 1 (+ y (* 2 y))) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) (* (pow y 3) (+ 1 y)))) x)) (+ (* y (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* y (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* y (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
y |
(+ y (* -1 (/ (pow y 2) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x))) |
(+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x)) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ 1 (* x y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 2 (/ 1 y))) (* -1 (/ y x))) x)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 2 (/ 1 y))) (* -1 (/ y x))) x)) (/ 1 y))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (+ 1 (+ y (* 2 y))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2))) x)) (* -1 (/ (pow (+ 1 (+ y (* 2 y))) 2) x))) (* -1 (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) x)) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (/ (* (+ 1 (+ y (* 2 y))) (+ (* -1 (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* -1 (pow (+ 1 (+ y (* 2 y))) 2)))) x))) (+ (* -1 (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* -1 (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* -1 (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (+ 1 y))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
| Outputs |
|---|
(/ (+ 1 x) y) |
(/.f64 (+.f64 x #s(literal 1 binary64)) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x #s(literal 1 binary64))) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x #s(literal 1 binary64))) y) |
(/ (+ 1 (+ x (* 2 y))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x #s(literal 1 binary64))) y) |
(/ (* x (+ 1 x)) y) |
(*.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) y)) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (* 2 x)))) y) |
(/.f64 (+.f64 y (*.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x #s(literal 1 binary64))) x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64)) y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) y) |
(/ (+ (* x (+ 1 x)) (* y (+ 1 (+ y (* 2 x))))) y) |
(/.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x y) #s(literal 1 binary64)) y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) y) |
(/ y (* x (+ 1 x))) |
(/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) y (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ 1 (+ x (* 2 x))) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))) (+ (* 2 (* x (+ 1 x))) (pow x 2))) (* (pow x 2) (+ 1 x)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64) (*.f64 x x))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) y (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) (/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))) y (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y x)) |
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal -1 binary64) x)) y #s(literal 1 binary64)) |
(/ y (* x (+ 1 x))) |
(/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(* y (+ (* -1 (* y (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
(*.f64 (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) y) |
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ (* 2 (* x (+ 1 x))) (pow x 2)) (+ (/ 1 (* x (pow (+ 1 x) 2))) (* 2 (/ 1 (* (pow x 2) (+ 1 x)))))) (* (pow x 2) (+ 1 x)))) (+ (* 3 (/ 1 (* (pow x 2) (pow (+ 1 x) 2)))) (/ 1 (* (pow x 3) (pow (+ 1 x) 2))))))) (+ (* 2 (/ 1 (* (pow x 2) (+ 1 x)))) (/ 1 (* x (pow (+ 1 x) 2)))))) (/ 1 (* x (+ 1 x))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64) (*.f64 y y)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -3 binary64) y #s(literal -1 binary64))) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (+ y (* 2 y))) (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) x)) (+ (* -1 (/ (* (pow y 2) (+ 1 y)) x)) (/ (* (+ 1 (+ y (* 2 y))) (+ (* -1 (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* -1 (pow (+ 1 (+ y (* 2 y))) 2)))) x))) (+ (* -1 (+ (* -2 (* y (+ 1 y))) (* -1 (pow y 2)))) (* -1 (pow (+ 1 (+ y (* 2 y))) 2)))) x)) (* -1 (+ 1 (+ y (* 2 y))))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64))) x) (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal -1 binary64) y) x) (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64) (*.f64 y y)) x)))) (-.f64 (fma.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 2 binary64) (*.f64 y y)) (pow.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) y #s(literal -1 binary64))) x)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (+ 1 y))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) y) x)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal -1 binary64) y) x) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (+ (* -1 (+ 1 y)) (* -1 (/ (* y (+ 1 y)) x)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (-.f64 #s(literal -1 binary64) y) x) (-.f64 (-.f64 #s(literal -1 binary64) y) y)) x)) (*.f64 x x)) |
| 5 888× | lower-/.f32 |
| 5 874× | lower-/.f64 |
| 4 356× | lower-*.f32 |
| 4 342× | lower-*.f64 |
| 3 684× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 283 |
| 0 | 67 | 275 |
| 1 | 274 | 275 |
| 2 | 2616 | 275 |
| 0 | 9352 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
(/.f64 x (+.f64 y x)) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ x (+ y x)) #s(literal 1 binary64)) |
#s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ x (+ y x)) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))) |
#s(approx (* (+ x y) (+ x y)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (+.f64 y #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 y (+.f64 y x)) x) |
(/.f64 y (+.f64 y x)) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) |
(/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
#s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 x y))))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 x y) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))))) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))))) (neg.f64 (*.f64 y (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) y))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 y)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) y (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) y))) |
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (*.f64 (neg.f64 y) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (neg.f64 y) (-.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y)) (*.f64 y (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 y (-.f64 #s(literal 2 binary64) (/.f64 x y)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)))) (*.f64 y (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) (neg.f64 y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) y)) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) y (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) y)) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (-.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
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(fma.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)) #s(literal 2 binary64)) (-.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)) y))) |
(+.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y)) y) |
(+.f64 y (fma.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) x (/.f64 x y))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 y x) #s(literal 1 binary64))) (/.f64 x (neg.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64))) (pow.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (pow.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) x) |
(*.f64 (neg.f64 x) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64))) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(*.f64 x (/.f64 (pow.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(pow.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64)))) (neg.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(/.f64 (/.f64 x (+.f64 (+.f64 y x) #s(literal 1 binary64))) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 y x) #s(literal 1 binary64)))) |
(/.f64 (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))) (+.f64 (+.f64 y x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 x #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x))) |
(/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 y x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 y x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -1 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 y x) #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
#s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)) |
Compiled 32 897 to 3 714 computations (88.7% saved)
34 alts after pruning (25 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 8 | 1 198 |
| Fresh | 3 | 17 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 196 | 34 | 1 230 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
| 99.7% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) y))) x y) #s(literal 1 binary64)))) | |
| 53.2% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) | |
| 52.4% | (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| ✓ | 92.7% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
| 62.0% | (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) | |
| 48.2% | (/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) | |
| 61.5% | (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) | |
| 39.6% | (/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) | |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| ✓ | 70.6% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 57.9% | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) | |
| 41.7% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) | |
| 33.0% | (/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) | |
| 38.0% | (/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) | |
| 48.7% | (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) | |
| 40.5% | (*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) | |
| 46.9% | (*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) | |
| ✓ | 39.1% | (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | 48.9% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
| 37.1% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) | |
| 5.2% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) | |
| ✓ | 4.2% | (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| 81.7% | (*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) | |
| 46.8% | (*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 35.6% | (*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| 90.1% | (*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 46.8% | #s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) | |
| 50.6% | #s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) | |
| 36.5% | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) | |
| ✓ | 35.7% | #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
| 39.1% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) | |
| ✓ | 37.8% | #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
Compiled 1 320 to 507 computations (61.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (/.f64 (+.f64 y x) x))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))) (+.f64 y x)) |
(/.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) y))) x y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 y x)) (*.f64 (/.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (+.f64 y x))) (/.f64 x (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y x) y) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) (*.f64 (/.f64 y (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 y x)) (*.f64 (/.f64 x (+.f64 y x)) (pow.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) x) (/.f64 (+.f64 y x) y)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
3 calls:
| 24.0ms | y |
| 18.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x)) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 y y (fma.f64 y x (*.f64 (+.f64 y x) x))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)) (/.f64 (+.f64 y x) x))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
3 calls:
| 143.0ms | x |
| 29.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | x |
| 98.0% | 3 | y |
| 92.7% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) y)) y) y)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y) x)) x) x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
1 calls:
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (+ (* (+ y x) y) (* (+ y x) x)) (fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
1 calls:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) |
3 calls:
| 22.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 14.0ms | y |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 93.5% | 2 | x |
| 94.7% | 3 | y |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (+ y x)) (+ y x)) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
3 calls:
| 11.0ms | x |
| 11.0ms | y |
| 10.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 89.2% | 4 | y |
| 89.7% | 3 | x |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (fma.f64 x x x)))) |
(/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) |
(/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 y (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
2 calls:
| 139.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 3 | y |
| 87.3% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ y (+ y x)) #s(literal 1 binary64)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(*.f64 y (/.f64 x (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 y x))))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(approx (+ (+ x y) 1) (+.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
(*.f64 (/.f64 x (+.f64 y x)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y x) (*.f64 (+.f64 y x) #s(approx (* (+ 1 (+ y x)) (+ y x)) (fma.f64 y y y)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | x |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | y |
| 83.7% | 3 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (*.f64 #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (+ (+ x y) 1) (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
(/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 x y) #s(approx (* (* (+ x y) (+ x y)) (+ (+ x y) 1)) (*.f64 (fma.f64 y y y) y))) |
| Outputs |
|---|
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 x (fma.f64 y y y))) |
#s(approx (/ (/ x (+ y x)) (* (/ (+ y x) y) (+ 1 (+ y x)))) (/.f64 y (fma.f64 x x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 y #s(approx (/ x (* (* (+ x y) (+ x y)) (+ 1 (+ y x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 (/.f64 x y) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
3 calls:
| 7.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 4 | y |
| 52.4% | 2 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 80.5% | 2 | x |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))) |
2 calls:
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 2 | y |
| 76.1% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 y (*.f64 x x))) |
(*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) #s(approx (/ (/ y (+ 1 (+ y x))) (+ y x)) (/.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 2 | y |
| 63.4% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.8% | 1 | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) |
| 37.8% | 1 | y |
| 37.8% | 1 | x |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.502797163674964e+123 | 1.4843881712999855e+125 |
| 16.0ms | -6.010764241654136e+93 | -4.322977415855597e+80 |
| 17.0ms | 272× | 0 | valid |
Compiled 561 to 361 computations (35.7% saved)
ival-mult: 5.0ms (49.2% of total)ival-add: 3.0ms (29.5% of total)ival-div: 2.0ms (19.7% 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 |
|---|---|---|
| 4.0ms | 3.7809907320956576e+170 | 5.142997746967354e+170 |
| 1.0ms | -6.010764241654136e+93 | -4.322977415855597e+80 |
| 3.0ms | 48× | 0 | valid |
Compiled 423 to 280 computations (33.8% saved)
ival-mult: 1.0ms (57.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 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 | 3.7809907320956576e+170 | 5.142997746967354e+170 |
| 1.0ms | -6.010764241654136e+93 | -4.322977415855597e+80 |
Compiled 423 to 280 computations (33.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -1.8920571156776626e+109 | -1.8336702304091607e+108 |
| 5.0ms | 96× | 0 | valid |
Compiled 206 to 134 computations (35% saved)
ival-mult: 2.0ms (57.8% of total)ival-div: 1.0ms (28.9% of total)ival-add: 1.0ms (28.9% 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 |
|---|---|---|
| 4.0ms | -4.729362927825235e-131 | -3.669841858697019e-131 |
| 14.0ms | -5.882889908994188e+97 | -2.1001415419030377e+94 |
| 12.0ms | 176× | 0 | valid |
Compiled 349 to 231 computations (33.8% saved)
ival-mult: 3.0ms (47% of total)ival-add: 2.0ms (31.4% of total)ival-div: 1.0ms (15.7% 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 |
|---|---|---|
| 3.0ms | -4.729362927825235e-131 | -3.669841858697019e-131 |
| 42.0ms | -7.744558612075103e+169 | -3.6458910450456383e+168 |
| 40.0ms | 144× | 0 | valid |
Compiled 288 to 211 computations (26.7% saved)
ival-mult: 3.0ms (56% of total)ival-div: 1.0ms (18.7% of total)ival-add: 1.0ms (18.7% 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 |
|---|---|---|
| 0.0ms | -4.729362927825235e-131 | -3.669841858697019e-131 |
| 1.0ms | -7.744558612075103e+169 | -3.6458910450456383e+168 |
Compiled 267 to 211 computations (21% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | -5.9806370576325944e-68 | -3.0934766825622024e-69 |
| 1.0ms | -7.744558612075103e+169 | -3.6458910450456383e+168 |
| 6.0ms | 112× | 0 | valid |
Compiled 265 to 231 computations (12.8% saved)
ival-mult: 2.0ms (49.9% of total)ival-div: 1.0ms (25% of total)ival-add: 1.0ms (25% 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 | -5.9806370576325944e-68 | -3.0934766825622024e-69 |
| 9.0ms | -7.744558612075103e+169 | -3.6458910450456383e+168 |
| 5.0ms | 96× | 0 | valid |
Compiled 230 to 203 computations (11.7% saved)
ival-mult: 2.0ms (58.3% of total)ival-div: 1.0ms (29.2% of total)ival-add: 1.0ms (29.2% 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 |
|---|---|---|
| 1.0ms | -5.9806370576325944e-68 | -3.0934766825622024e-69 |
| 1.0ms | -7.744558612075103e+169 | -3.6458910450456383e+168 |
Compiled 209 to 182 computations (12.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -5.9806370576325944e-68 | -3.0934766825622024e-69 |
Compiled 118 to 98 computations (16.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -14182921523610750.0 | -26493565438981.43 |
| 7.0ms | 128× | 0 | valid |
Compiled 124 to 110 computations (11.3% saved)
ival-mult: 3.0ms (63.8% of total)ival-div: 1.0ms (21.3% of total)ival-add: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -14182921523610750.0 | -26493565438981.43 |
Compiled 116 to 110 computations (5.2% saved)
| 1× | egg-herbie |
| 24× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 888 |
| 1 | 143 | 888 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 144999999999999996621161699630234225415315185851930064510871922479291245259821097760527586962355578877808653301239901883203584 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 379999999999999978218940019687979608594847331794987508942284727625024590176739747028204131904808204125416105289611295083212929255730541574884664935040059361256278551691264 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 379999999999999978218940019687979608594847331794987508942284727625024590176739747028204131904808204125416105289611295083212929255730541574884664935040059361256278551691264 binary64)) (*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4000000000000000135995966852011298379775898878851592190853722859351501086892803333170966465522933783685234688 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))) |
(if (<=.f64 x #s(literal -5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (if (<=.f64 x #s(literal -3696150283574135/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -18999999999999999581337397481528835408443616500041681821082527410870898395015059537498408098917759046364520172825736138662239372110829621431927387349331465384496377888768 binary64)) #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -18999999999999999581337397481528835408443616500041681821082527410870898395015059537498408098917759046364520172825736138662239372110829621431927387349331465384496377888768 binary64)) #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))) |
(if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -145000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -145000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 y x)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) |
(*.f64 (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x)) (/.f64 x (+.f64 y x))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 144999999999999996621161699630234225415315185851930064510871922479291245259821097760527586962355578877808653301239901883203584 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 379999999999999978218940019687979608594847331794987508942284727625024590176739747028204131904808204125416105289611295083212929255730541574884664935040059361256278551691264 binary64)) (/.f64 (*.f64 (/.f64 y (+.f64 y x)) x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 379999999999999978218940019687979608594847331794987508942284727625024590176739747028204131904808204125416105289611295083212929255730541574884664935040059361256278551691264 binary64)) (*.f64 (/.f64 y (+.f64 y x)) (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x)))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))))) |
(if (<=.f64 y #s(literal -5999999999999999565511246423817943898315849897584188751130734742173316640592582618169164693504 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 y #s(literal 379999999999999978218940019687979608594847331794987508942284727625024590176739747028204131904808204125416105289611295083212929255730541574884664935040059361256278551691264 binary64)) (*.f64 (/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 y (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 (fma.f64 #s(approx (+ (+ 2 (/ x y)) (/ 1 y)) #s(literal 2 binary64)) x y) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4000000000000000135995966852011298379775898878851592190853722859351501086892803333170966465522933783685234688 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (*.f64 x (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))))) |
(if (<=.f64 x #s(literal -4000000000000000135995966852011298379775898878851592190853722859351501086892803333170966465522933783685234688 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (*.f64 (/.f64 (/.f64 y (+.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) x)) |
(if (<=.f64 x #s(literal -5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (if (<=.f64 x #s(literal -3696150283574135/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -5500000000000000214953547155993019536688132345463333012787678969557967406843898972563002208813056 binary64)) (/.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) y) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (if (<=.f64 x #s(literal -3696150283574135/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 y x) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 y x)))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 (/.f64 y (+.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 y x))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal -4595213866065141/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632 binary64)) (/.f64 (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 y x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 #s(approx (/ x (+ y x)) #s(literal 1 binary64)) (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x))) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -4800000000000000185323172579613669133411298471584821069812343819291714768791651648169474804218072176490676043337431441458783709897762008423512006273934270355234885730304 binary64)) (*.f64 (/.f64 #s(approx (/ y (+ 1 (+ y x))) (/.f64 y x)) (+.f64 y x)) #s(approx (/ x (+ y x)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -18999999999999999581337397481528835408443616500041681821082527410870898395015059537498408098917759046364520172825736138662239372110829621431927387349331465384496377888768 binary64)) #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 y #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -18999999999999999581337397481528835408443616500041681821082527410870898395015059537498408098917759046364520172825736138662239372110829621431927387349331465384496377888768 binary64)) #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) (/.f64 (/.f64 x (+.f64 y x)) #s(approx (* (/ (+ y x) y) (+ 1 (+ y x))) (+.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -18999999999999999581337397481528835408443616500041681821082527410870898395015059537498408098917759046364520172825736138662239372110829621431927387349331465384496377888768 binary64)) #s(approx (/ (* (/ y (+ y x)) x) (* (+ 1 (+ y x)) (+ y x))) (/.f64 (/.f64 y x) x)) (if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y))))) |
(if (<=.f64 x #s(literal -5706589870913079/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (fma.f64 x x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -145000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (fma.f64 y y y)))) |
(if (<=.f64 x #s(literal -145000000000000 binary64)) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 y (*.f64 x x))) #s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y)))) |
#s(approx (/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1))) (/.f64 x (*.f64 y y))) |
| 9 930× | lower-fma.f64 |
| 9 930× | lower-fma.f32 |
| 9 904× | lower-fma.f64 |
| 9 904× | lower-fma.f32 |
| 9 744× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 48 |
| 0 | 15 | 42 |
| 1 | 76 | 42 |
| 2 | 666 | 42 |
| 0 | 8864 | 42 |
| 0 | 875 | 12328 |
| 1 | 3074 | 11776 |
| 0 | 8369 | 10911 |
| 0 | 1039 | 13609 |
| 1 | 3695 | 12992 |
| 0 | 8548 | 12194 |
| 0 | 35 | 206 |
| 0 | 61 | 197 |
| 1 | 254 | 187 |
| 2 | 2549 | 187 |
| 0 | 8628 | 187 |
| 0 | 33 | 212 |
| 0 | 55 | 196 |
| 1 | 273 | 196 |
| 2 | 2340 | 196 |
| 0 | 8171 | 196 |
| 0 | 1077 | 12890 |
| 1 | 3784 | 12281 |
| 0 | 8633 | 11597 |
| 0 | 437 | 2666 |
| 1 | 1532 | 2578 |
| 2 | 6455 | 2536 |
| 0 | 8479 | 2309 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 3 308 to 1 065 computations (67.8% saved)
Compiled 1 146 to 274 computations (76.1% saved)
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