
Time bar (total: 7.2s)
| 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 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 7 |
| 82% | 82% | 18% | 0.1% | 0% | 0% | 0% | 8 |
| 87.9% | 87.8% | 12.1% | 0.1% | 0% | 0% | 0% | 9 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 10 |
| 93.8% | 93.8% | 6.1% | 0.1% | 0% | 0% | 0% | 11 |
| 95.4% | 95.3% | 4.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 465.0ms | 8 256× | 0 | valid |
ival-div: 155.0ms (51.2% of total)ival-add: 77.0ms (25.4% of total)ival-mult: 57.0ms (18.8% of total)ival-true: 5.0ms (1.7% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | o/n | 29 | 0 |
| ↳ | (/.f64 x y) | overflow | 30 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 59 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 29 | 0 |
| - | 0 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 0 | 0 |
| - | 0 | 0 | 227 |
| number | freq |
|---|---|
| 0 | 227 |
| 1 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-mult: 28.0ms (68.9% of total)ival-div: 7.0ms (17.2% of total)ival-add: 5.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 086× | div-sub |
| 1 020× | unsub-neg |
| 896× | sub-neg |
| 818× | distribute-lft-in |
| 792× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 65 |
| 1 | 81 | 57 |
| 2 | 207 | 55 |
| 3 | 680 | 55 |
| 4 | 1654 | 55 |
| 5 | 3109 | 55 |
| 6 | 4447 | 55 |
| 7 | 5053 | 55 |
| 8 | 5609 | 55 |
| 9 | 6055 | 55 |
| 10 | 6151 | 55 |
| 11 | 6653 | 55 |
| 12 | 7061 | 55 |
| 13 | 7281 | 55 |
| 14 | 7593 | 55 |
| 15 | 7817 | 55 |
| 16 | 7825 | 55 |
| 17 | 7825 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 35 | 11 |
| 3 | 63 | 11 |
| 4 | 100 | 11 |
| 5 | 157 | 11 |
| 6 | 238 | 11 |
| 7 | 269 | 11 |
| 8 | 275 | 11 |
| 9 | 289 | 11 |
| 10 | 291 | 11 |
| 11 | 291 | 11 |
| 12 | 292 | 11 |
| 13 | 294 | 11 |
| 14 | 302 | 11 |
| 0 | 302 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.3% | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 11 to 8 computations (27.3% 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) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 128 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 166× | lower-*.f32 |
| 164× | lower-*.f64 |
| 98× | associate-*r* |
| 92× | lower-fma.f64 |
| 92× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 26 | 32 |
| 2 | 35 | 32 |
| 3 | 63 | 32 |
| 4 | 100 | 32 |
| 5 | 157 | 32 |
| 6 | 238 | 32 |
| 7 | 269 | 32 |
| 8 | 275 | 32 |
| 9 | 289 | 32 |
| 10 | 291 | 32 |
| 11 | 291 | 32 |
| 12 | 292 | 32 |
| 13 | 294 | 32 |
| 14 | 302 | 32 |
| 0 | 302 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 6.820832935997125 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 19.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-mult: 6.0ms (49.6% of total)ival-div: 3.0ms (24.8% of total)ival-add: 2.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #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 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor -inf y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (/ 1 y) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | -inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1× | egg-herbie |
| 21 530× | lower-fma.f64 |
| 21 530× | lower-fma.f32 |
| 4 414× | lower-*.f64 |
| 4 414× | lower-*.f32 |
| 3 134× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3420 | 635 |
| 0 | 9161 | 612 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 (/.f64 x y) (+.f64 y x)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 (/.f64 x y) (+.f64 y x)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 (/.f64 x y) (+.f64 y x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#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)) |
(+ 1 (/ x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(+ x (/ (pow x 2) y)) |
(fma.f64 (/.f64 x y) x x) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#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)) |
(+ 1 (/ x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
(* x (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x) |
1 |
#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)) |
(+ 1 (/ x y)) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(fma.f64 (/.f64 x y) x x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)) #s(literal -1 binary64)) x) x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
| 3 588× | lower-*.f32 |
| 3 586× | lower-*.f64 |
| 3 312× | lower-/.f32 |
| 3 308× | lower-/.f64 |
| 3 296× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(pow.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) x)) |
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(fma.f64 x (/.f64 x y) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 9 670 to 1 220 computations (87.4% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 487 | 12 | 499 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 488 | 12 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| 89.3% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| 80.5% | (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64))) | |
| 71.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) | |
| 77.5% | (/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 99.9% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
| 89.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) | |
| 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| ▶ | 55.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| ▶ | 91.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
| 53.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 36.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ▶ | 44.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 278 to 194 computations (30.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) | |
| cost-diff | 512 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 384 | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) | |
| cost-diff | 512 | (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 4 848× | lower-fma.f32 |
| 4 844× | lower-fma.f64 |
| 2 854× | lower-*.f32 |
| 2 850× | lower-*.f64 |
| 2 484× | lower-/.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 189 |
| 0 | 42 | 189 |
| 1 | 80 | 189 |
| 2 | 128 | 188 |
| 3 | 261 | 188 |
| 4 | 518 | 188 |
| 5 | 971 | 182 |
| 6 | 1458 | 182 |
| 7 | 2352 | 181 |
| 8 | 5019 | 181 |
| 0 | 8134 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
x |
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (fma.f64 y x y) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) | |
| accuracy | 5.167634791532437 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) | |
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 6.866334087608524 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 32.347389249647826 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.0625 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| accuracy | 28.40700387174721 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 40.54082526348126 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.05859375 | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) | |
| accuracy | 7.048217542705672 | (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
| 46.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 161 to 25 computations (84.5% saved)
ival-mult: 13.0ms (39.5% of total)ival-div: 11.0ms (33.4% of total)ival-add: 8.0ms (24.3% of total)ival-sub: 1.0ms (3% 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 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (patch (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x y))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) (patch (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x))) |
| 4.0ms | y | @ | 0 | ((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x))) |
| 3.0ms | y | @ | -inf | ((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x))) |
| 2.0ms | x | @ | inf | ((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x))) |
| 2.0ms | y | @ | inf | ((/ (+ 1 x) (+ 1 (/ x y))) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x))) |
| 1× | egg-herbie |
| 13 910× | lower-fma.f64 |
| 13 910× | lower-fma.f32 |
| 6 354× | lower-+.f64 |
| 6 354× | lower-+.f32 |
| 4 106× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 4493 |
| 1 | 1180 | 4267 |
| 2 | 3485 | 3829 |
| 0 | 8431 | 3669 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (+ 1 x)) x) |
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (+ 1 x)) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) |
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y)) |
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) |
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)))) |
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
1 |
(+ 1 (* x (- 1 (/ 1 y)))) |
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y)))) |
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ y (* x (- 1 y)))) |
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y)))) |
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
y |
(- (+ y (/ y x)) (/ (pow y 2) x)) |
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) |
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
x |
(* x (- (+ 1 (/ y x)) (/ 1 x))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2))))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
y |
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x))) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x))) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
| Outputs |
|---|
(/ (* y (+ 1 x)) x) |
(/.f64 (fma.f64 x y y) x) |
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 y x))) y y) |
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 y x))) y (/.f64 #s(literal 1 binary64) x)) y y) |
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x)) y y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) 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) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* x y))) y) |
(/.f64 (fma.f64 (neg.f64 x) y x) y) |
(/ (+ x (* -1 (* x y))) y) |
(/.f64 (fma.f64 (neg.f64 x) y x) y) |
(/ (+ x (* -1 (* x y))) y) |
(/.f64 (fma.f64 (neg.f64 x) y x) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x y)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
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(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) y)) x)) x) (/.f64 #s(literal 1 binary64) y)) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x (fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(fma.f64 (/.f64 y x) x (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) (-.f64 #s(literal 1 binary64) y)) x)) x) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
| 5 126× | lower-/.f32 |
| 5 114× | lower-/.f64 |
| 4 846× | lower-*.f32 |
| 4 842× | lower-*.f64 |
| 4 384× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 165 |
| 0 | 42 | 165 |
| 1 | 197 | 163 |
| 2 | 1625 | 163 |
| 0 | 8350 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
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(fma.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
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(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 1 binary64)) |
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(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
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(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
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(pow.f64 (/.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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) x) |
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(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 x y) x) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 (/.f64 x y) x) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) x) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 x y) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 x y) x) x (neg.f64 x)))) |
(+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x) |
(+.f64 x (*.f64 (-.f64 (/.f64 x y) x) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (+.f64 (/.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 (/.f64 x y) x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (*.f64 y x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(fma.f64 y (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 x (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) y) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) |
Compiled 24 033 to 3 489 computations (85.5% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 294 | 11 | 1 305 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 303 | 14 | 1 317 |
| Status | Accuracy | Program |
|---|---|---|
| 80.5% | (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 99.8% | (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| 44.6% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) | |
| 53.1% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) | |
| 39.1% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) | |
| 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| 55.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| ▶ | 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ▶ | 74.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
| ▶ | 50.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
| 35.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| ✓ | 36.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 20.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| ▶ | 36.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
Compiled 228 to 184 computations (19.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) | |
| cost-diff | 128 | (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 704 | (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| 5 488× | lower-fma.f32 |
| 5 484× | lower-fma.f64 |
| 3 576× | lower-*.f32 |
| 3 568× | lower-*.f64 |
| 2 098× | lower-/.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 244 |
| 0 | 55 | 241 |
| 1 | 101 | 241 |
| 2 | 136 | 241 |
| 3 | 246 | 241 |
| 4 | 483 | 235 |
| 5 | 948 | 235 |
| 6 | 1857 | 228 |
| 7 | 4209 | 228 |
| 0 | 8224 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(fma.f64 y x y) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
(fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(approx (/ x (+ 1 x)) #s(literal 1 binary64))) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(fma.f64 y x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 y x) x) | |
| accuracy | 16.46966847190216 | (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) | |
| accuracy | 0.015625 | (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) | |
| accuracy | 5.167634791532437 | (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) | |
| accuracy | 31.679723046004366 | #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.1796875 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 31.461937194013505 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 32.347389249647826 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0625 | (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) | |
| accuracy | 28.40700387174721 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| accuracy | 30.306779591833557 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.14453125 | (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| 79.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 181 to 29 computations (84% saved)
ival-mult: 32.0ms (49.5% of total)ival-div: 23.0ms (35.6% of total)ival-add: 6.0ms (9.3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% 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 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.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 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (patch (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (+.f64 (/.f64 x y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x y) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x 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) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<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>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (/.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y))) |
| 3.0ms | y | @ | -inf | ((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | x | @ | -inf | ((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | y | @ | 0 | ((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | y | @ | inf | ((/ (* 1 (+ (/ x y) 1)) (/ (+ x 1) x)) (* 1 (+ (/ x y) 1)) (+ (/ x y) 1) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ x 1) x) (+ x 1) (/ (* (+ y x) x) (+ (* y x) y))) |
| 1× | egg-herbie |
| 16 568× | lower-fma.f64 |
| 16 568× | lower-fma.f32 |
| 3 896× | lower-+.f64 |
| 3 896× | lower-+.f32 |
| 3 786× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 4815 |
| 1 | 824 | 4590 |
| 2 | 2265 | 3985 |
| 0 | 8332 | 3831 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (+ 1 x)) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ y (* x (- 1 y)))) |
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y)))) |
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
x |
(* x (- (+ 1 (/ y x)) (/ 1 x))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2))))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
| Outputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* x y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/ (+ x (* -1 (* x y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/ (+ x (* -1 (* x y))) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (pow x 2) (+ 1 x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))) x) (/.f64 x y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) x) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) x) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) x)) x) (/.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(-.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 y x)) x)) x) #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 (+.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
| 5 422× | lower-/.f32 |
| 5 410× | lower-/.f64 |
| 4 306× | lower-*.f32 |
| 4 298× | lower-*.f64 |
| 4 016× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 229 |
| 0 | 55 | 225 |
| 1 | 222 | 225 |
| 2 | 1516 | 225 |
| 0 | 8233 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
(fma.f64 y x y) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
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(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 y x y))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)) |
(*.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y))) |
(*.f64 x (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 y x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x))) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y))))) |
(/.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 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y x y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)) (fma.f64 y x y)) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 y x y) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x) (*.f64 (-.f64 y x) (fma.f64 y x y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(/.f64 (+.f64 y x) (/.f64 (fma.f64 y x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 x (fma.f64 y x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (*.f64 (+.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (fma.f64 y x y)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 y x y) x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (fma.f64 y x y))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 y 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 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y x y) x)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (fma.f64 y x y))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (fma.f64 y x y) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (fma.f64 y x y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y x y))) (/.f64 (*.f64 (+.f64 y x) x) (neg.f64 (fma.f64 y x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64))) |
Compiled 19 938 to 2 655 computations (86.7% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 167 | 7 | 1 174 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 171 | 17 | 1 188 |
| Status | Accuracy | Program |
|---|---|---|
| 49.4% | (/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| 44.6% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) | |
| ▶ | 53.1% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
| 39.1% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) | |
| 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| ▶ | 55.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
| ▶ | 55.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
| ✓ | 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ✓ | 74.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
| 35.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 50.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) | |
| ✓ | 36.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) | |
| ▶ | 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
| ▶ | 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
| 20.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| ✓ | 36.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
Compiled 245 to 204 computations (16.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) | |
| cost-diff | 320 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| cost-diff | 0 | (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) | |
| cost-diff | 128 | (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
| 5 222× | lower-fma.f32 |
| 5 218× | lower-fma.f64 |
| 2 904× | lower-*.f32 |
| 2 898× | lower-*.f64 |
| 1 992× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 276 |
| 0 | 52 | 276 |
| 1 | 91 | 276 |
| 2 | 135 | 268 |
| 3 | 267 | 268 |
| 4 | 424 | 268 |
| 5 | 749 | 268 |
| 6 | 1413 | 268 |
| 7 | 2747 | 268 |
| 8 | 4647 | 268 |
| 9 | 7626 | 268 |
| 0 | 8070 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
x |
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) |
(+.f64 y x) |
y |
x |
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) |
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal -1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (-.f64 x #s(literal -1 binary64)))) |
x |
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64))) |
(+.f64 y x) |
y |
x |
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) |
(fma.f64 #s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x)) x x) |
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (- (/ x y) x) (-.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(-.f64 (/.f64 x y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 0.0625 | (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) | |
| accuracy | 0.125 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| accuracy | 28.40700387174721 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) | |
| accuracy | 6.470427788081115 | (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) | |
| accuracy | 31.679723046004366 | #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 29.963790740004427 | #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.06640625 | (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) | |
| accuracy | 28.40700387174721 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) | |
| accuracy | 30.306779591833557 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0625 | (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) | |
| accuracy | 28.40700387174721 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| accuracy | 32.573654906476435 | #s(approx (- (/ x y) x) (/.f64 x y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 176 to 27 computations (84.7% saved)
ival-div: 28.0ms (60.1% of total)ival-add: 7.0ms (15% of total)ival-mult: 7.0ms (15% of total)ival-sub: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<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 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* x (* y (- 1 x))) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (* y (- 1 x))) (pow x 2)) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* y (- 1 x))) y) (taylor 0 y) (#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) (patch (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) (taylor -inf x) (#s(alt #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 y) (/ 1 (* x y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) (patch (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 2) (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- 1 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- 1 (/ 1 x)) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (taylor -inf x) (#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ x 1) (* (+ y x) (/ (/ x (+ 1 x)) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ y x) (/ (/ x (+ 1 x)) y) (* (/ (- 1 y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ x (+ 1 x)) (/ (- 1 y) y)) |
| 2.0ms | y | @ | -inf | ((/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ x 1) (* (+ y x) (/ (/ x (+ 1 x)) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ y x) (/ (/ x (+ 1 x)) y) (* (/ (- 1 y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ x (+ 1 x)) (/ (- 1 y) y)) |
| 2.0ms | y | @ | 0 | ((/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ x 1) (* (+ y x) (/ (/ x (+ 1 x)) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ y x) (/ (/ x (+ 1 x)) y) (* (/ (- 1 y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ x (+ 1 x)) (/ (- 1 y) y)) |
| 2.0ms | x | @ | inf | ((/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ x 1) (* (+ y x) (/ (/ x (+ 1 x)) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ y x) (/ (/ x (+ 1 x)) y) (* (/ (- 1 y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ x (+ 1 x)) (/ (- 1 y) y)) |
| 2.0ms | y | @ | inf | ((/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ x (/ (+ 1 x) (+ 1 (/ x y)))) (/ (+ 1 x) (+ 1 (/ x y))) (+ x 1) (* (+ y x) (/ (/ x (+ 1 x)) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ y x) (/ (/ x (+ 1 x)) y) (* (/ (- 1 y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ x (+ 1 x)) (/ (- 1 y) y)) |
| 1× | egg-herbie |
| 12 754× | lower-fma.f64 |
| 12 754× | lower-fma.f32 |
| 4 962× | lower-+.f64 |
| 4 962× | lower-+.f32 |
| 3 326× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 5066 |
| 1 | 940 | 4764 |
| 2 | 2638 | 4025 |
| 0 | 8626 | 3862 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (pow x 2) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x (* y (- 1 x))) y) |
(/ (+ x (* y (- 1 x))) y) |
(/ (+ x (* y (- 1 x))) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (* y (+ 1 x)) x) |
(* y (+ 1 (+ (* -1 (* y (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(* y (+ 1 (+ (* y (- (/ (* y (+ (/ 1 x) (/ 1 (pow x 2)))) x) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(* y (+ 1 (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 x) (/ 1 (pow x 2))) x)))) (+ (/ 1 x) (/ 1 (pow x 2))))) (/ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ 1 y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ 1 (* -1 y)) y) |
(/ (+ 1 (* -1 y)) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- 1 x)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(- 1 x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) |
(- (+ 1 (+ x (/ (* (pow x 2) (+ 1 x)) (pow y 2)))) (/ (* x (+ 1 x)) y)) |
(- (+ 1 (+ x (* -1 (/ (* (pow x 3) (+ 1 x)) (pow y 3))))) (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 2))) (/ (* x (+ 1 x)) y))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* -1 x) |
(+ (* -1 x) (/ x y)) |
(+ (* -1 x) (/ x y)) |
(+ (* -1 x) (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
-1 |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- 1 x)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(- 1 x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (/ (* x (+ 1 x)) y)))) |
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)))) |
(+ 1 (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (+ 1 x)) y)) (* -1 (* (pow x 2) (+ 1 x)))) y)) (* -1 (* x (+ 1 x)))) y)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* -1 x) |
(+ (* -1 x) (/ x y)) |
(+ (* -1 x) (/ x y)) |
(+ (* -1 x) (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
-1 |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
(- (/ 1 y) 1) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (* x (- 1 (/ 1 y)))) |
(+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y)))) |
(+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* x (- (/ 1 y) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
y |
(- (+ y (/ y x)) (/ (pow y 2) x)) |
(- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) |
(- (+ y (+ (/ y x) (/ (* (pow y 2) (- y (pow y 2))) (pow x 3)))) (+ (/ (* y (- y (pow y 2))) (pow x 2)) (/ (pow y 2) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
y |
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x))) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x))) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ (* x (- 1 y)) y) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
| Outputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
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(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
y |
(+ y (* -1 (/ (- (* -1 y) (* -1 (pow y 2))) x))) |
(-.f64 y (/.f64 (fma.f64 y y (neg.f64 y)) x)) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x))) (* -1 (pow y 2))) x))) |
(+.f64 (/.f64 (fma.f64 y (-.f64 (/.f64 (fma.f64 y y (neg.f64 y)) x) y) y) x) y) |
(+ y (* -1 (/ (- (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) (* -1 (* y (- (* -1 y) (* -1 (pow y 2)))))) x))) (* -1 (pow y 2))) x))) |
(-.f64 y (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 y y (neg.f64 y)) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) 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))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) x)) x)) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ (* x (- 1 y)) y) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 (* x (- 1 (/ 1 y)))) |
(-.f64 (/.f64 x y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
| 4 946× | lower-/.f32 |
| 4 938× | lower-/.f64 |
| 4 802× | lower-fma.f32 |
| 4 798× | lower-fma.f64 |
| 4 704× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 261 |
| 0 | 52 | 261 |
| 1 | 227 | 261 |
| 2 | 1722 | 261 |
| 0 | 8610 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
(+.f64 y x) |
(/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x) |
#s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(neg.f64 x) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) y) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 y (*.f64 y y)) (*.f64 y y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))) |
(-.f64 (/.f64 y (*.f64 y y)) (/.f64 (*.f64 y y) (*.f64 y y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 (*.f64 y y) (fma.f64 y y y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) y)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 y))) |
(-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
Compiled 14 041 to 2 245 computations (84% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 897 | 5 | 902 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 902 | 17 | 919 |
| Status | Accuracy | Program |
|---|---|---|
| 49.4% | (/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| 44.6% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) | |
| ✓ | 53.1% | (/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
| 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| ✓ | 55.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
| 55.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) | |
| ✓ | 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ✓ | 74.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
| 35.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 50.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) | |
| ✓ | 36.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ✓ | 50.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
| 20.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| ✓ | 36.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 42.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) | |
| 39.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) | |
| 18.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
Compiled 479 to 240 computations (49.9% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
3 calls:
| 41.0ms | x |
| 36.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (* 1 (+ (/ x y) 1)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
3 calls:
| 11.0ms | y |
| 9.0ms | x |
| 8.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 96.9% | 3 | y |
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
2 calls:
| 38.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.9% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
2 calls:
| 30.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.9% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 #s(approx (/ (- 1 y) y) (/.f64 #s(literal 1 binary64) y)) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 x y y) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (/.f64 (fma.f64 y x y) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 98.3% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 y x) (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 65.4% | 3 | y |
| 86.7% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) (+.f64 x #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | x |
| 85.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x #s(approx (/ (+ 1 x) (+ 1 (/ x y))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 3 | x |
| 72.1% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (*.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
3 calls:
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 1 | y |
| 42.4% | 1 | x |
| 42.4% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 42.4% | 1 | x |
| 42.4% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 39.1% | 1 | x |
| 39.1% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.70017659940805e-49 | 4.998775442003441e-40 |
| 13.0ms | -1321975618.3517623 | -8162514.046897029 |
| 7.0ms | 128× | 0 | valid |
Compiled 177 to 158 computations (10.7% saved)
ival-div: 2.0ms (51.7% of total)ival-add: 1.0ms (25.8% of total)ival-mult: 1.0ms (25.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.70017659940805e-49 | 4.998775442003441e-40 |
| 11.0ms | -2.7929523729690757e-15 | -8.542586760829803e-27 |
| 5.0ms | 96× | 0 | valid |
Compiled 154 to 132 computations (14.3% saved)
ival-div: 1.0ms (34.9% of total)ival-add: 1.0ms (34.9% of total)ival-mult: 1.0ms (34.9% 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 |
|---|---|---|
| 14.0ms | 863265.0220410639 | 3922739380985682.5 |
| 1.0ms | -1321975618.3517623 | -8162514.046897029 |
| 8.0ms | 160× | 0 | valid |
Compiled 337 to 302 computations (10.4% saved)
ival-div: 2.0ms (43.3% of total)ival-add: 1.0ms (21.6% of total)ival-mult: 1.0ms (21.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.1585302779247325e-11 | 25.078183136728484 |
| 15.0ms | -85.73429979206755 | -1.5815268927924486e-9 |
| 19.0ms | 320× | 0 | valid |
Compiled 374 to 333 computations (11% saved)
ival-div: 6.0ms (51.7% of total)ival-add: 3.0ms (25.8% of total)ival-mult: 2.0ms (17.2% 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 |
|---|---|---|
| 3.0ms | 3.1585302779247325e-11 | 25.078183136728484 |
| 1.0ms | -85.73429979206755 | -1.5815268927924486e-9 |
| 2.0ms | 32× | 0 | valid |
Compiled 354 to 333 computations (5.9% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999988416085257 | 0.9999999389790901 |
| 0.0ms | -1003.4068501954125 | -1.581526895293676e-9 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000051947739786 | 19.741961480336375 |
| 0.0ms | -1003.4068501954125 | -1.581526895293676e-9 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9605979482660034e-13 | 0.9999988416085257 |
| 0.0ms | -1003.4068501954125 | -1.581526895293676e-9 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 214× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 158× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 122× | neg-mul-1-binary64-*.f64-neg.f64 |
| 114× | neg-sub0-binary64--.f64-neg.f64 |
| 104× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 742 |
| 1 | 107 | 742 |
| 2 | 117 | 742 |
| 3 | 133 | 742 |
| 4 | 184 | 742 |
| 5 | 248 | 742 |
| 6 | 352 | 742 |
| 7 | 474 | 742 |
| 8 | 596 | 742 |
| 9 | 668 | 742 |
| 10 | 709 | 742 |
| 11 | 738 | 742 |
| 12 | 765 | 742 |
| 13 | 776 | 742 |
| 14 | 778 | 742 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 3700000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y)))) |
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y)) (if (<=.f64 x #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 3700000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1300000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 3700000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 5494391545392005/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 9007190247541737/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -1000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
| 21 530× | lower-fma.f64 |
| 21 530× | lower-fma.f32 |
| 16 568× | lower-fma.f64 |
| 16 568× | lower-fma.f32 |
| 13 910× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 4815 |
| 1 | 824 | 4590 |
| 2 | 2265 | 3985 |
| 0 | 8332 | 3831 |
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3420 | 635 |
| 0 | 9161 | 612 |
| 0 | 305 | 5066 |
| 1 | 940 | 4764 |
| 2 | 2638 | 4025 |
| 0 | 8626 | 3862 |
| 0 | 37 | 229 |
| 0 | 55 | 225 |
| 1 | 222 | 225 |
| 2 | 1516 | 225 |
| 0 | 8233 | 220 |
| 0 | 368 | 4493 |
| 1 | 1180 | 4267 |
| 2 | 3485 | 3829 |
| 0 | 8431 | 3669 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 624 to 288 computations (53.8% saved)
Compiled 752 to 192 computations (74.5% saved)
Loading profile data...