
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 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)
| 552.0ms | 8 256× | 0 | valid |
ival-div: 159.0ms (48.5% of total)ival-mult: 80.0ms (24.4% of total)ival-add: 76.0ms (23.2% of total)ival-true: 5.0ms (1.5% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 15 | (5.1696129494033786e+126 6.525740203084174e-174) | (/.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 | 19 | 0 |
| ↳ | (/.f64 x y) | overflow | 19 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 53 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 15 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 15 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 237 |
| 1 | 19 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 512× | 0 | valid |
Compiled 111 to 45 computations (59.5% saved)
ival-div: 7.0ms (44.6% of total)ival-add: 5.0ms (31.9% of total)ival-mult: 3.0ms (19.1% 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 |
|---|---|---|
| ▶ | 87.5% | (/.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 | 0.078125 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.990110126190807 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 3.0ms (39.7% of total)ival-add: 2.0ms (26.4% of total)ival-mult: 2.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 | |
|---|---|---|---|---|
| 29.0ms | x | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 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× | 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)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 13 | 499 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 487 | 13 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.5% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 74.1% | (/.f64 (*.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 x #s(literal 1 binary64))) | |
| 87.4% | (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 87.5% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 (+.f64 y x) y))) (+.f64 x #s(literal 1 binary64))) | |
| 38.0% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 87.3% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
| 73.5% | (*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) | |
| ▶ | 47.4% | #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))) |
| 56.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| ▶ | 93.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
| 51.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 37.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 44.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 284 to 208 computations (26.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 192 | (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 192 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| 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 | 320 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
| 5 884× | lower-fma.f32 |
| 5 880× | lower-fma.f64 |
| 4 462× | lower-*.f32 |
| 4 460× | lower-*.f64 |
| 1 640× | lower-/.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 177 |
| 0 | 42 | 174 |
| 1 | 85 | 172 |
| 2 | 152 | 172 |
| 3 | 306 | 172 |
| 4 | 536 | 172 |
| 5 | 914 | 168 |
| 6 | 1343 | 161 |
| 7 | 2666 | 160 |
| 8 | 5483 | 160 |
| 0 | 8524 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 |
#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 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
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)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(+.f64 y x) |
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 #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 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) |
(/.f64 (+.f64 (/.f64 y x) y) (+.f64 y x)) |
(+.f64 #s(literal 1 binary64) x) |
x |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) | |
| accuracy | 8.118675893347435 | (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.990110126190807 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 33.58515939555629 | #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))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 40.19330436219392 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| 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 | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.015625 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) | |
| accuracy | 3.87207118853626 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
| 57.0ms | 256× | 0 | valid |
Compiled 160 to 25 computations (84.4% saved)
ival-add: 25.0ms (58% of total)ival-div: 12.0ms (27.8% of total)ival-mult: 6.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (/.f64 x (+.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>) () ()) |
#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 (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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 y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 (/ (pow x 2) (+ 1 x)) (taylor 0 y) (#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 (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) (taylor 0 y) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- y (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (* y (- y (pow y 2))) x))) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (pow y 2))) x)) (* -1 (* y (- y (pow y 2))))) x))) (pow y 2)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | ((/ (* (/ 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)) (/ x y) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1) (/ 1 (/ (+ 1 x) (+ (* (/ x y) x) x))) (/ (+ 1 x) (+ (* (/ x y) x) x)) (+ 1 x)) |
| 3.0ms | y | @ | -inf | ((/ (* (/ 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)) (/ x y) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1) (/ 1 (/ (+ 1 x) (+ (* (/ x y) x) x))) (/ (+ 1 x) (+ (* (/ x y) x) x)) (+ 1 x)) |
| 2.0ms | y | @ | 0 | ((/ (* (/ 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)) (/ x y) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1) (/ 1 (/ (+ 1 x) (+ (* (/ x y) x) x))) (/ (+ 1 x) (+ (* (/ x y) x) x)) (+ 1 x)) |
| 2.0ms | x | @ | -inf | ((/ (* (/ 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)) (/ x y) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1) (/ 1 (/ (+ 1 x) (+ (* (/ x y) x) x))) (/ (+ 1 x) (+ (* (/ x y) x) x)) (+ 1 x)) |
| 2.0ms | x | @ | inf | ((/ (* (/ 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)) (/ x y) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ 1 y) (+ x -1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1) (/ 1 (/ (+ 1 x) (+ (* (/ x y) x) x))) (/ (+ 1 x) (+ (* (/ x y) x) x)) (+ 1 x)) |
| 1× | egg-herbie |
| 11 142× | lower-fma.f64 |
| 11 142× | lower-fma.f32 |
| 6 662× | lower-+.f64 |
| 6 662× | lower-+.f32 |
| 3 654× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 3827 |
| 1 | 1069 | 3701 |
| 2 | 3139 | 3236 |
| 0 | 8396 | 3113 |
| 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 (+ 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x 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) |
(/ 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) |
(/ (+ (* 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) |
(/ (* y (+ 1 x)) (pow x 2)) |
(* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(/ 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) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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)))) |
(/ 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 |
(+ 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 x) x) |
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x))) |
(- (+ 1 (+ (/ 1 x) (/ (* x (+ 1 x)) (pow y 2)))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 3))) (/ 1 x))) (+ (* -1 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 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 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) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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)))) |
(/ 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 |
(+ 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 x) x) |
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x))) |
(+ 1 (+ (* -1 (/ (- (* -1 (/ (* x (+ 1 x)) y)) (* -1 (+ 1 x))) y)) (/ 1 x))) |
(+ 1 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1 x)) y)) (* -1 (* x (+ 1 x)))) y)) (* -1 (+ 1 x))) y)) (/ 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)))) |
(* 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 y) |
(/ x y) |
(/ x y) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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 |
(- x 1) |
(- x 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 |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x 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)))) |
(/ 1 x) |
(/ (+ 1 (* x (- 1 (/ 1 y)))) x) |
(/ (+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y)))) x) |
(/ (+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 y)))) x) |
1 |
(+ 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 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)))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* 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)))))) |
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)))))) |
(/ (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 |
(* 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)))))) |
(/ y x) |
(/ (- (+ y (/ y x)) (/ (pow y 2) x)) x) |
(/ (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) 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 |
(* 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 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)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 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 |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
(* (pow x 2) (+ (/ 1 x) (/ 1 y))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- y (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (* y (- y (pow y 2))) x))) (pow y 2)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (pow y 2))) x)) (* -1 (* y (- y (pow y 2))))) x))) (pow y 2)) x))) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 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 (+ 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) (+ 1 x)) |
(*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) 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))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(/ (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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) 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) |
(/.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) |
(/ 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 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 y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 y x)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 y x)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 x (+.f64 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) |
(/.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) |
(/ (* y (+ 1 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 y x y) x) x) |
(* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 y x) x))) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 y x))) y (/.f64 #s(literal 1 binary64) x)) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x)) y (/.f64 (/.f64 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))) |
(/ 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))) |
(/ (* x y) (+ 1 x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(/ 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))) |
(/ 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 y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/ 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 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) |
(/ 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))) |
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 x) x) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) y)) |
(- (+ 1 (+ (/ 1 x) (/ (* x (+ 1 x)) (pow y 2)))) (+ (/ 1 y) (/ x y))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y)) |
(- (+ 1 (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 3))) (/ 1 x))) (+ (* -1 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal 3 binary64))) (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) y))) |
(/ 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))) |
(/ 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))) |
(/ (* x y) (+ 1 x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) y) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(/ 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))) |
(/ 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 y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/ 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))) |
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(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (*.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) x #s(literal 1 binary64)) |
(/ y x) |
(/.f64 y x) |
(/ (- (+ y (/ y x)) (/ (pow y 2) x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 y (*.f64 y y)) x) y) x) |
(/ (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) x) |
(/.f64 (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y) 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) |
(/.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y) (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y)) 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 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) 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 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) (/.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 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) (/.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 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) 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 |
(* 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 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) (/.f64 #s(literal 1 binary64) y)) x) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- y (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (*.f64 y y)) x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (* y (- y (pow y 2))) x))) (pow y 2)) x))) x)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 y (*.f64 y y)) x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (pow y 2))) x)) (* -1 (* y (- y (pow y 2))))) x))) (pow y 2)) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (*.f64 (-.f64 y (*.f64 y y)) (-.f64 (*.f64 y (/.f64 y x)) y)) x)) x) y) 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) |
| 4 924× | lower-/.f32 |
| 4 910× | lower-/.f64 |
| 4 540× | lower-*.f32 |
| 4 538× | lower-*.f64 |
| 3 780× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 144 |
| 0 | 42 | 139 |
| 1 | 199 | 137 |
| 2 | 1572 | 137 |
| 0 | 8177 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
(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))) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(+.f64 x #s(literal 1 binary64)) |
(/.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) x) (fma.f64 (/.f64 x y) x x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 y x) y) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 y x) y)) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) y)) |
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) y)) |
(*.f64 (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 x x #s(literal -1 binary64))) y) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) y) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) y) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) y) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) y) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 x #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) y) (/.f64 (+.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #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 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (+.f64 y x) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (+.f64 y x) y) (pow.f64 (-.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 (/.f64 (+.f64 y x) y) (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 (/.f64 (+.f64 y x) y) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 y x) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 x y) (/.f64 (/.f64 (+.f64 y x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (+.f64 y x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 y x) y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) y)) |
(*.f64 (+.f64 y x) (pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 y x) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 y x) y) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.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 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.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) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x 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 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #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 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 31 645 to 3 707 computations (88.3% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 581 | 11 | 1 592 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 590 | 15 | 1 605 |
| Status | Accuracy | Program |
|---|---|---|
| 87.5% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 (+.f64 y x) y))) (+.f64 x #s(literal 1 binary64))) | |
| 38.0% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| 51.2% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 44.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) | |
| ▶ | 56.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| ▶ | 74.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
| 47.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) | |
| ▶ | 88.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) |
| 50.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x y) x)) y)) | |
| ▶ | 36.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
| ✓ | 37.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 70.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 y x) x)) (-.f64 x #s(literal -1 binary64))))) | |
| 47.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| 36.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ▶ | 13.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
Compiled 268 to 220 computations (17.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) | |
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal -1 binary64)) y) | |
| 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 y x) | |
| cost-diff | 0 | #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) | |
| cost-diff | 320 | (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (+.f64 y x)) |
| 4 904× | lower-fma.f32 |
| 4 902× | lower-fma.f64 |
| 2 220× | lower-*.f32 |
| 2 210× | lower-*.f64 |
| 1 848× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 251 |
| 0 | 53 | 245 |
| 1 | 123 | 241 |
| 2 | 231 | 231 |
| 3 | 565 | 231 |
| 4 | 1078 | 221 |
| 5 | 1958 | 221 |
| 6 | 4371 | 221 |
| 7 | 6919 | 221 |
| 0 | 8064 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#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 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) |
(+.f64 (/.f64 y x) y) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#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 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
(fma.f64 y x y) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 x #s(literal -1 binary64)) y) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 y x) x) | |
| accuracy | 16.219628703259197 | (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.04296875 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| accuracy | 27.977574684954885 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) | |
| accuracy | 3.87207118853626 | (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) | |
| accuracy | 36.67094511327739 | #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) | |
| accuracy | 33.58515939555629 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) | |
| accuracy | 39.86809146873026 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x #s(literal -1 binary64)) x) | |
| accuracy | 0.109375 | (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) | |
| accuracy | 7.108942821818786 | (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) |
| 66.0ms | 256× | 0 | valid |
Compiled 181 to 32 computations (82.3% saved)
ival-mult: 23.0ms (46.2% of total)ival-div: 14.0ms (28.1% of total)ival-add: 10.0ms (20.1% of total)ival-sub: 2.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (*.f64 #s(literal 1 binary64) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) (patch (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) (patch #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<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 (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x #s(literal -1 binary64)) y) (patch (*.f64 (-.f64 x #s(literal -1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) 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 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 x #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
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#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 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 y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) 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) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) 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) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) 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) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((* 1 (+ y x)) (* (/ (- x -1) x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* 1 (+ y x)) (* (/ (- x -1) x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (/ (- x -1) x) (/ (* (+ y x) x) (* (- x -1) y))) |
| 3.0ms | x | @ | -inf | ((* 1 (+ y x)) (* (/ (- x -1) x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* 1 (+ y x)) (* (/ (- x -1) x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (/ (- x -1) x) (/ (* (+ y x) x) (* (- x -1) y))) |
| 2.0ms | x | @ | inf | ((* 1 (+ y x)) (* (/ (- x -1) x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* 1 (+ y x)) (* (/ (- x -1) x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (/ (- x -1) x) (/ (* (+ y x) x) (* (- x -1) y))) |
| 2.0ms | y | @ | inf | ((* 1 (+ y x)) (* (/ (- x -1) x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* 1 (+ y x)) (* (/ (- x -1) x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (/ (- x -1) x) (/ (* (+ y x) x) (* (- x -1) y))) |
| 2.0ms | y | @ | 0 | ((* 1 (+ y x)) (* (/ (- x -1) x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* 1 (+ y x)) (* (/ (- x -1) x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (/ 1 y) (+ x -1)) 1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (* y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (* (- x -1) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (/ (- x -1) x) (/ (* (+ y x) x) (* (- x -1) y))) |
| 1× | egg-herbie |
| 12 586× | lower-fma.f64 |
| 12 586× | lower-fma.f32 |
| 4 074× | lower-+.f64 |
| 4 074× | lower-+.f32 |
| 3 614× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 4613 |
| 1 | 620 | 4504 |
| 2 | 1741 | 3937 |
| 3 | 6914 | 3852 |
| 0 | 8375 | 3731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) 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) (* 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) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x 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))) |
(* 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) |
(/ x y) |
(/ 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) |
(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) |
(/ (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 |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) 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 (+ 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 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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 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 y) |
(/ x y) |
(/ x y) |
(/ 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 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))) |
(/ 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))) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) 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 (+ 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 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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 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 y) |
(/ x y) |
(/ x y) |
(/ 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 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))) |
(/ 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 |
(+ x y) |
(+ x y) |
(+ x y) |
(/ y x) |
(/ (+ y (* x y)) x) |
(/ (+ y (* x y)) x) |
(/ (+ y (* x y)) 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)))) |
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 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x 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 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 y) |
(/ x y) |
(/ x y) |
(/ x 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 y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) 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 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
y |
(+ y (/ y x)) |
(+ y (/ y 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 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 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* 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)))))) |
(/ 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)))))) |
(* 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 y) |
(/ x y) |
(/ x 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)))))) |
(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))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 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 |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
y |
(+ y (/ y x)) |
(+ y (/ y x)) |
(+ y (/ 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 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 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 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))) |
(* 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) |
(/ x y) |
(/ x y) |
(/ x 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)))) |
(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))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 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 |
|---|
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.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) (* 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) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 (+.f64 y x) #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))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* 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) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x 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) |
(/ (+ (* 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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.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) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ 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) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ (* y (+ 1 x)) x) |
(+.f64 (/.f64 y x) y) |
(/ 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))) |
(/ 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))) |
(/ 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)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/ 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))) |
(/ 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))) |
(/ (* x y) (+ 1 x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(*.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y 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))) |
(+ x (* -1 (pow x 2))) |
(-.f64 x (*.f64 x x)) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* -1 x) |
(neg.f64 x) |
(- (/ x y) x) |
(-.f64 (/.f64 x y) x) |
(- (/ x y) x) |
(-.f64 (/.f64 x y) x) |
(- (/ x y) x) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
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(fma.f64 (/.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) x (/.f64 x 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)) |
(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) |
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 y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (/.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) x (/.f64 x 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)) |
| 4 764× | lower-/.f32 |
| 4 754× | lower-/.f64 |
| 4 266× | lower-*.f32 |
| 4 256× | lower-*.f64 |
| 3 422× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 230 |
| 0 | 53 | 224 |
| 1 | 258 | 220 |
| 2 | 1952 | 220 |
| 0 | 8241 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) |
(*.f64 y x) |
#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) |
(*.f64 (-.f64 x #s(literal -1 binary64)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 (fma.f64 x y y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(pow.f64 (/.f64 x (fma.f64 x y y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x y y) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x y y))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x y y)) (neg.f64 x)) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x y y) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 x y y)))) |
(/.f64 y (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x y y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (fma.f64 x y y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x y y) x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x y y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x) |
(*.f64 (/.f64 x (fma.f64 x y y)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) (*.f64 (+.f64 x y) x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (pow.f64 (neg.f64 (fma.f64 x y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) x) (pow.f64 (fma.f64 x y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 x (fma.f64 x y y))) |
(*.f64 x (/.f64 (+.f64 x y) (fma.f64 x y y))) |
(*.f64 x (*.f64 (+.f64 x y) (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y))) |
(pow.f64 (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) x) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 x y))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 x y) y))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 x (fma.f64 x y y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 x y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x y y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x y)))) (neg.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 x y y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x y y) x)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 (+.f64 x y) x) y) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (/.f64 x y)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 x (fma.f64 x y y))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 x y y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 (fma.f64 x y y) x) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 x y))) (neg.f64 (neg.f64 (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) x) (*.f64 (-.f64 y x) (fma.f64 x y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 x y y) x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (/.f64 y x)) |
(/.f64 (neg.f64 (+.f64 x y)) (/.f64 (neg.f64 (fma.f64 x y y)) x)) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (neg.f64 (fma.f64 x y y))) |
(/.f64 (*.f64 (+.f64 x y) x) (fma.f64 x y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (fma.f64 x y y))) |
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) x)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) x) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x y y) x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 x y y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x y) (fma.f64 x y y)) x) |
(*.f64 (/.f64 x (fma.f64 x y y)) (pow.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y)) |
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)) (*.f64 (+.f64 x y) x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (+.f64 x y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (pow.f64 (neg.f64 (fma.f64 x y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) x) (pow.f64 (fma.f64 x y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x y) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 x (fma.f64 x y y))) |
(*.f64 x (/.f64 (+.f64 x y) (fma.f64 x y y))) |
(*.f64 x (*.f64 (+.f64 x y) (pow.f64 (fma.f64 x y y) #s(literal -1 binary64)))) |
(*.f64 x (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x y y)) (+.f64 x y))) |
(pow.f64 (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) x) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (/.f64 x y))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 x y) y))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 x (fma.f64 x y y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 x y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 x y)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x y y))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x y)))) (neg.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (fma.f64 x y y) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x y y) x)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 x y) y)) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 (+.f64 x y) x) y) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (/.f64 x y)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 x y) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (/.f64 (+.f64 x y) y)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 x (fma.f64 x y y))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 x y y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 (fma.f64 x y y) x) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 x y))) (neg.f64 (neg.f64 (fma.f64 x y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (/.f64 (neg.f64 (fma.f64 x y y)) x))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) x) (*.f64 (-.f64 y x) (fma.f64 x y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 (fma.f64 x y y) x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 (+.f64 x y) (-.f64 x #s(literal -1 binary64))) (/.f64 y x)) |
(/.f64 (neg.f64 (+.f64 x y)) (/.f64 (neg.f64 (fma.f64 x y y)) x)) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (neg.f64 (fma.f64 x y y))) |
(/.f64 (*.f64 (+.f64 x y) x) (fma.f64 x y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 x y)) (fma.f64 x y y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (fma.f64 x y y) x))) |
(neg.f64 (/.f64 (*.f64 (+.f64 x y) x) (neg.f64 (fma.f64 x y y)))) |
(neg.f64 (/.f64 (+.f64 x y) (/.f64 (neg.f64 (fma.f64 x y y)) x))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 x y y) x) (-.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 x y y)) x)) (/.f64 (+.f64 x y) (/.f64 (neg.f64 (fma.f64 x y y)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x y y))) (/.f64 (*.f64 (+.f64 x y) x) (neg.f64 (fma.f64 x y y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (fma.f64 x y y) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (fma.f64 x y y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) #s(literal -1 binary64))) |
Compiled 16 093 to 2 025 computations (87.4% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 987 | 8 | 995 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 995 | 15 | 1 010 |
| Status | Accuracy | Program |
|---|---|---|
| 38.0% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| ▶ | 51.2% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| ▶ | 44.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
| 56.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| 56.2% | #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)) | |
| ▶ | 42.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (/ (- x -1) x) y) (/.f64 y x)))) | |
| ▶ | 47.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
| ✓ | 36.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
| 40.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) | |
| ✓ | 37.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ▶ | 74.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
| 36.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ✓ | 13.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| 17.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
Compiled 234 to 193 computations (17.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -192 | (*.f64 x (/.f64 x (fma.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 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) 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 (+.f64 x y) x) | |
| cost-diff | 0 | (fma.f64 x y y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
| 5 428× | lower-fma.f32 |
| 5 422× | lower-fma.f64 |
| 2 842× | lower-neg.f32 |
| 2 840× | lower-neg.f64 |
| 2 662× | lower-*.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 245 |
| 0 | 55 | 245 |
| 1 | 112 | 245 |
| 2 | 162 | 241 |
| 3 | 373 | 241 |
| 4 | 833 | 236 |
| 5 | 1454 | 236 |
| 6 | 2306 | 226 |
| 7 | 4195 | 226 |
| 0 | 8978 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) |
(fma.f64 x y y) |
x |
y |
(*.f64 (+.f64 x y) x) |
(+.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) |
x |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
x |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) |
(/.f64 (+.f64 (/.f64 y x) y) (+.f64 y x)) |
(fma.f64 x y y) |
(fma.f64 y x y) |
x |
y |
(*.f64 (+.f64 x y) x) |
(*.f64 (+.f64 y x) x) |
(+.f64 x y) |
(+.f64 y x) |
#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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.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) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 (/.f64 y x) y))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/.f64 x (+.f64 (/.f64 y x) y)) |
x |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 0.18359375 | (*.f64 x (/.f64 x (fma.f64 y x y))) | |
| accuracy | 7.849849432560212 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 31.710537373026703 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 y x) #s(literal 1 binary64)) | |
| accuracy | 3.87207118853626 | (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) | |
| accuracy | 33.488823489922105 | #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.258036235450962 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.04296875 | (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) | |
| accuracy | 27.977574684954885 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| accuracy | 30.956103933047398 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x y) x) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) | |
| accuracy | 16.39793730483137 | (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) |
| 70.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 178 to 33 computations (81.5% saved)
ival-div: 12.0ms (32.1% of total)ival-mult: 12.0ms (32.1% of total)ival-add: 10.0ms (26.8% of total)ival-sub: 2.0ms (5.4% of total)ival-neg: 1.0ms (2.7% 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 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<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)) (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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) (patch #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y x) #s(literal 1 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) #<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 x (/.f64 x (fma.f64 y x y))) (patch (*.f64 x (/.f64 x (fma.f64 y x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) (patch (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) 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(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x 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(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x 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(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x 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(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 x y y) (patch (fma.f64 x y y) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) x) (patch (*.f64 (+.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) x) (patch (*.f64 (+.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) x) (patch (*.f64 (+.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) x) (patch (*.f64 (+.f64 x y) x) #<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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) #<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 x (/.f64 x (fma.f64 y x y))) (patch (*.f64 x (/.f64 x (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (fma.f64 y x y))) (patch (*.f64 x (/.f64 x (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (fma.f64 y x y))) (patch (*.f64 x (/.f64 x (fma.f64 y x y))) #<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 x (/.f64 x (fma.f64 y x y))) (patch (*.f64 x (/.f64 x (fma.f64 y x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) (patch (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ y x))) (* -1 (/ (pow y 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) (patch (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x)) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) (patch (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (* -1 (/ (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) (patch (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((/ 1 (/ (+ (* x y) y) (* (+ x y) x))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* x y) y) (* (+ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- (+ y x) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ (* y x) y)) (+ (* y x) y) (* x (/ x (+ (* y x) y))) (/ (+ (* x y) y) (* (+ x y) x))) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ (+ (* x y) y) (* (+ x y) x))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* x y) y) (* (+ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- (+ y x) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ (* y x) y)) (+ (* y x) y) (* x (/ x (+ (* y x) y))) (/ (+ (* x y) y) (* (+ x y) x))) |
| 2.0ms | x | @ | -inf | ((/ 1 (/ (+ (* x y) y) (* (+ x y) x))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* x y) y) (* (+ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- (+ y x) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ (* y x) y)) (+ (* y x) y) (* x (/ x (+ (* y x) y))) (/ (+ (* x y) y) (* (+ x y) x))) |
| 2.0ms | y | @ | inf | ((/ 1 (/ (+ (* x y) y) (* (+ x y) x))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* x y) y) (* (+ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- (+ y x) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ (* y x) y)) (+ (* y x) y) (* x (/ x (+ (* y x) y))) (/ (+ (* x y) y) (* (+ x y) x))) |
| 2.0ms | x | @ | inf | ((/ 1 (/ (+ (* x y) y) (* (+ x y) x))) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* x y) y) (* (+ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ 1 x)) (+ 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* (/ x (+ 1 x)) (+ y x)) y) (* (/ x (+ 1 x)) (+ y x)) (- (+ y x) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (/ x (+ (* y x) y)) (+ (* y x) y) (* x (/ x (+ (* y x) y))) (/ (+ (* x y) y) (* (+ x y) x))) |
| 1× | egg-herbie |
| 10 042× | lower-fma.f64 |
| 10 042× | lower-fma.f32 |
| 5 218× | lower-+.f64 |
| 5 218× | lower-+.f32 |
| 3 782× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 430 | 5202 |
| 1 | 1371 | 4937 |
| 2 | 4041 | 4373 |
| 0 | 8797 | 4181 |
| 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 (+ 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)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(/ (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))) |
(/ (+ (/ (* 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))) |
(- x 1) |
(- (+ x y) 1) |
(- (+ x y) 1) |
(- (+ x y) 1) |
(/ (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 (+ 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))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (* y (+ 1 x)) (pow x 2)) |
(* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(/ 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 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* 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)))) |
(+ 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)))) |
(/ 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))))) |
y |
(* y (- (+ 1 (/ x y)) (/ 1 y))) |
(* y (- (+ 1 (/ x y)) (/ 1 y))) |
(* y (- (+ 1 (/ x 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 (* 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))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ 1 x) x) |
(+ 1 (+ (* -1 (/ (+ 1 x) y)) (/ 1 x))) |
(- (+ 1 (+ (/ 1 x) (/ (* x (+ 1 x)) (pow y 2)))) (+ (/ 1 y) (/ x y))) |
(- (+ 1 (+ (* -1 (/ (* (pow x 2) (+ 1 x)) (pow y 3))) (/ 1 x))) (+ (* -1 (/ (* x (+ 1 x)) (pow y 2))) (+ (/ 1 y) (/ x y)))) |
(* -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 (+ 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 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* 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))))) |
(/ 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)))) |
(/ 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))))))) |
y |
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x 1) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x 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)))) |
(* -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))) |
(* -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 (/ (- (* -1 x) 1) x)) |
(+ (* -1 (/ (- 1 (* -1 x)) y)) (* -1 (/ (- (* -1 x) 1) x))) |
(+ (* -1 (/ (- (* -1 x) 1) x)) (* -1 (/ (- (+ 1 (* -1 (/ (* x (- 1 (* -1 x))) y))) (* -1 x)) y))) |
(+ (* -1 (/ (- (* -1 x) 1) x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow x 2) (- 1 (* -1 x))) y)) (* -1 (* x (- 1 (* -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 |
(* 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 |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ 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)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
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)))) |
(* 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)))) |
(- y 1) |
(- (+ x y) 1) |
(- (+ x y) 1) |
(- (+ x 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 (+ (* -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)) |
(/ (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))) |
(/ 1 x) |
(/ (+ 1 (* x (- 1 (/ 1 y)))) x) |
(/ (+ 1 (* x (- (+ 1 (* x (- (/ 1 (pow y 2)) (/ 1 y)))) (/ 1 y)))) x) |
(/ (+ 1 (* x (- (+ 1 (* x (- (+ (* x (- (/ 1 (pow y 2)) (/ 1 (pow y 3)))) (/ 1 (pow y 2))) (/ 1 y)))) (/ 1 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 y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ 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)))))) |
(* (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)))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
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)) (/ 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)))))) |
x |
(* x (- (+ 1 (/ y x)) (/ 1 x))) |
(* x (- (+ 1 (/ y x)) (/ 1 x))) |
(* x (- (+ 1 (/ y 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)))))) |
(/ 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 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))))) |
(/ y x) |
(/ (- (+ y (/ y x)) (/ (pow y 2) x)) x) |
(/ (- (+ y (+ (* -1 (/ (* y (- y (pow y 2))) (pow x 2))) (/ y x))) (/ (pow y 2) x)) 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 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 y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 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)))) |
(* -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 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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 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))) |
x |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 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 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)))) |
(/ y x) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ y x))) (* -1 (/ (pow y 2) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (* -1 (/ (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) 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 (+ 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) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(pow x 2) |
(*.f64 x x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(+ (* x y) (pow x 2)) |
(*.f64 (+.f64 y x) x) |
(/ (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 (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 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 (+ 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 (+ 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) (+ 1 x)) |
(*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) 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))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (+ x y) 1) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
(- (+ x y) 1) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
(- (+ x y) 1) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
(/ (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) |
(/ 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)) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/ (* y (+ 1 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 y x y) x) x) |
(* y (+ (* -1 (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 y x) x))) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (- (/ (* y (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 y x))) y (/.f64 #s(literal 1 binary64) x)) y (/.f64 (/.f64 y x) x)) |
(* y (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (pow x 4)) (/ 1 (pow x 5))))) (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 y (pow.f64 x #s(literal 5 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) y (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 y x)))) y (/.f64 #s(literal 1 binary64) x)) y (/.f64 (/.f64 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 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) y) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) y) |
(* y (+ x (/ (pow x 2) y))) |
(*.f64 (fma.f64 (/.f64 x y) x x) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
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(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.f64 x y)) |
(* x y) |
(*.f64 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) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (fma.f64 (/.f64 y x) x x)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (fma.f64 (/.f64 y x) x x)) |
(* (pow x 2) (+ 1 (/ y x))) |
(*.f64 x (fma.f64 (/.f64 y x) x x)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.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) |
(* -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 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.f64 x y)) |
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 |
(* 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))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.f64 x y)) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64)) 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) y) x) (-.f64 #s(literal 1 binary64) y)) x)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(* -1 (* x (- (* -1 (/ (- y 1) x)) 1))) |
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) x (/.f64 x y))) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (neg.f64 x) (/.f64 x y)) |
(/ 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 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) |
(* -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 y)))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) 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) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (- (+ (* -1 y) (* -1 (/ y x))) (* -1 (/ (pow y 2) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (*.f64 y y)) x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (/ (* y (- (* -1 y) (* -1 (pow y 2)))) x)) x))) x)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y x))) x) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 y) (* -1 (pow y 2)))) (* -1 (/ (+ (* -1 (* y (- (* -1 y) (* -1 (pow y 2))))) (/ (* (pow y 2) (- (* -1 y) (* -1 (pow y 2)))) x)) x))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 y (/.f64 y x)) y)) (neg.f64 x))) x) y) x) |
| 5 492× | lower-*.f32 |
| 5 488× | lower-*.f64 |
| 5 004× | lower-/.f32 |
| 4 994× | lower-/.f64 |
| 2 824× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 228 |
| 0 | 55 | 228 |
| 1 | 270 | 224 |
| 2 | 1983 | 224 |
| 0 | 8746 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
(fma.f64 x y y) |
(*.f64 (+.f64 x y) x) |
#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 y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y) |
#s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) |
(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 y x (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (+.f64 y x)) x) |
(*.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (neg.f64 x))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 x #s(literal 1 binary64))) (/.f64 x y)) |
(*.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) x)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (+.f64 y x) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 y x) y)) |
(*.f64 (*.f64 (+.f64 y x) x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (+.f64 y x) (fma.f64 y x y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))) (neg.f64 (fma.f64 y x y))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x)) (fma.f64 y x y)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64))) |
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(-.f64 (+.f64 y x) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 y x (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 y))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 y x (neg.f64 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 y x (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 y x (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(fma.f64 y x y) |
(fma.f64 x y y) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 y x (neg.f64 y)))) |
(+.f64 (*.f64 y x) y) |
(+.f64 y (*.f64 y x)) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 y x (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 (fma.f64 y x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x y)) |
(*.f64 x (/.f64 x (fma.f64 y x y))) |
(pow.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y x y) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x y)))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 y x y))) |
(/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x) y) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x y) (*.f64 x x)))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 y x y) x))) |
(/.f64 x (/.f64 (fma.f64 y x y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (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 (pow.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 y x) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (fma.f64 y x y) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 y x y) (+.f64 y x))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (pow.f64 (pow.f64 (fma.f64 y x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) (fma.f64 y x y)) |
(*.f64 (/.f64 (fma.f64 y x y) x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (/.f64 (+.f64 y x) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 y (+.f64 y x))) |
(*.f64 (neg.f64 (fma.f64 y x y)) (pow.f64 (*.f64 (+.f64 y x) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 y (*.f64 (+.f64 y x) x))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 y x y) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y x y) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) |
(pow.f64 (/.f64 x (/.f64 (fma.f64 y x y) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))) (neg.f64 (fma.f64 y x (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x y) #s(literal 1 binary64))) (*.f64 (+.f64 y x) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 y x) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))) (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) (fma.f64 y x (neg.f64 y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) x)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 y x y) #s(literal 1 binary64)) (*.f64 (+.f64 y x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (*.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x (neg.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 y x) x) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y x y) (+.f64 y x))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x y))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x y))) (neg.f64 (*.f64 (+.f64 y x) (neg.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 y x y) x)) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 y x) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) x))) |
(/.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (*.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x (neg.f64 y)))) |
(/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 y x) x) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 y x y)) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x)))) |
(/.f64 (neg.f64 (fma.f64 y x y)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 y x y)) (*.f64 (+.f64 y x) (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (fma.f64 y x y) (+.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 y x y) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) x))) |
(/.f64 (fma.f64 y x y) (*.f64 (+.f64 y x) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 y x y) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 y x y) (+.f64 y x)) (neg.f64 x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x y) x) (+.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))) #s(literal -1 binary64))) |
Compiled 13 129 to 2 143 computations (83.7% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 843 | 7 | 850 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 848 | 17 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| 44.2% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) | |
| ✓ | 51.2% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 36.0% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 x x)))) | |
| ✓ | 44.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
| 18.7% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) | |
| 12.7% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| 44.5% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) | |
| 17.4% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) | |
| 56.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| 56.2% | #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)) | |
| ✓ | 42.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ✓ | 47.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
| ✓ | 36.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
| 36.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) | |
| 40.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) | |
| ✓ | 37.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ✓ | 13.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
Compiled 526 to 263 computations (50% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) 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 #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)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x 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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (/ (- x -1) x) y) (/.f64 y x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.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)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 x x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 (+.f64 y x) y))) (+.f64 x #s(literal 1 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 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 y x) x)) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) #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)) (*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
3 calls:
| 14.0ms | y |
| 11.0ms | x |
| 11.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 99.8% | 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) 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 #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)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x 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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (/ (- x -1) x) y) (/.f64 y x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.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)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x y) (*.f64 x x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 (+.f64 y x) y))) (+.f64 x #s(literal 1 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 #s(literal 1 binary64) (/.f64 (fma.f64 x y y) (*.f64 (+.f64 x y) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (+.f64 y x) x)) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) 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 #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)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x 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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (/ (- x -1) x) y) (/.f64 y x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(/.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 #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
2 calls:
| 50.0ms | 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 | (/.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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) 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 #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)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x (/.f64 x (fma.f64 y x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (+ y x) x) (*.f64 y x)) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x 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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (*.f64 (-.f64 x #s(literal -1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) #s(approx (* (/ (- x -1) x) y) (/.f64 y x)))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
3 calls:
| 13.0ms | x |
| 8.0ms | y |
| 8.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | y |
| 99.2% | 6 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 98.5% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) 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 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 (+.f64 y x) #s(literal 1 binary64))) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
2 calls:
| 16.0ms | x |
| 5.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 85.6% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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)) #s(approx (- (+ y x) 1) (-.f64 x #s(literal 1 binary64)))) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#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 (+ 1 x)) (+ y x)) (*.f64 y x)) y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (* x (/ x (+ (* y x) y))) (/.f64 (*.f64 x x) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (*.f64 x #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) |
| 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:
| 7.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 76.0% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.8% | 4 | (/.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)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.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)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 3 | x |
| 44.3% | 2 | y |
| 54.0% | 2 | (/.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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.7% | 1 | y |
| 13.7% | 1 | x |
| 13.7% | 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)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.001607795821685388 | 7644115348198651000.0 |
| 27.0ms | -1.9793878179772007e-19 | -2.0344069284955966e-21 |
| 31.0ms | 288× | 0 | valid |
Compiled 456 to 369 computations (19.1% saved)
ival-div: 4.0ms (45.4% of total)ival-add: 2.0ms (22.7% of total)ival-mult: 2.0ms (22.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.8903018145395114e-83 | 5.964397487224615e-81 |
| 1.0ms | -1.9793878179772007e-19 | -2.0344069284955966e-21 |
| 1.0ms | 16× | 0 | valid |
Compiled 174 to 149 computations (14.4% 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× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.001607795821685388 | 7644115348198651000.0 |
| 1.0ms | -3.0953453949832345e+38 | -8.618127646552912e+24 |
| 1.0ms | 16× | 0 | valid |
Compiled 158 to 141 computations (10.8% 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× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.001607795821685388 | 7644115348198651000.0 |
| 8.0ms | -1.1247752821647252 | -0.12004607564476799 |
| 17.0ms | 256× | 0 | valid |
Compiled 303 to 268 computations (11.6% saved)
ival-div: 4.0ms (51.3% of total)ival-add: 2.0ms (25.6% of total)ival-mult: 2.0ms (25.6% 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 |
|---|---|---|
| 6.0ms | 0.001607795821685388 | 7644115348198651000.0 |
| 1.0ms | -1.1247752821647252 | -0.12004607564476799 |
| 3.0ms | 64× | 0 | valid |
Compiled 286 to 268 computations (6.3% saved)
ival-div: 1.0ms (51.9% of total)ival-add: 1.0ms (51.9% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.001607795821685388 | 7644115348198651000.0 |
| 18.0ms | -6388233686.733935 | -818194.9101924635 |
| 22.0ms | 272× | 0 | valid |
Compiled 280 to 298 computations (-6.4% saved)
ival-div: 10.0ms (61.3% of total)ival-add: 4.0ms (24.5% of total)ival-mult: 2.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2637286694704664 | 38.77992550545952 |
| 0.0ms | -160723.85170758836 | -2.721879603840281e-6 |
Compiled 14 to 13 computations (7.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2637286694704664 | 38.77992550545952 |
| 0.0ms | 0.001605214963773726 | 0.007192289217638694 |
| 0.0ms | -160723.85170758836 | -2.721879603840281e-6 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.001605214963773726 | 0.007192289217638694 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 16× | +-commutative-binary64-+.f64 |
| 10× | *-commutative-binary64-*.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 4× | neg-sub0-binary64--.f64-neg.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 674 |
| 1 | 105 | 674 |
| 2 | 111 | 674 |
| 3 | 117 | 674 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -75288304448755/5192296858534827628530496329220096 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 16000000000000000 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -75288304448755/5192296858534827628530496329220096 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 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -199999999999999995497619646912068059136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 20000000000000000 binary64)) (/.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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -960000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7000 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000 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 -100000 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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #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 1152921504606847/576460752303423488 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -75288304448755/5192296858534827628530496329220096 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 16000000000000000 binary64)) (*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -75288304448755/5192296858534827628530496329220096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 16000000000000000 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -75288304448755/5192296858534827628530496329220096 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 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 -75288304448755/5192296858534827628530496329220096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 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 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 20000000000000000 binary64)) (/.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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -199999999999999995497619646912068059136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 20000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 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 #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -960000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 7000 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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -100000 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 #s(literal 1 binary64) x)) #s(literal -100000 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 #s(literal 1 binary64) x)) #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 -100000 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 1152921504606847/576460752303423488 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 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 #s(literal 1 binary64) x)) #s(literal -100000 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 #s(literal 1 binary64) x)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #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 1152921504606847/576460752303423488 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1152921504606847/576460752303423488 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)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| 21 530× | lower-fma.f64 |
| 21 530× | lower-fma.f32 |
| 12 586× | lower-fma.f64 |
| 12 586× | lower-fma.f32 |
| 11 142× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 3827 |
| 1 | 1069 | 3701 |
| 2 | 3139 | 3236 |
| 0 | 8396 | 3113 |
| 0 | 26 | 144 |
| 0 | 42 | 139 |
| 1 | 199 | 137 |
| 2 | 1572 | 137 |
| 0 | 8177 | 137 |
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3420 | 635 |
| 0 | 9161 | 612 |
| 0 | 202 | 4613 |
| 1 | 620 | 4504 |
| 2 | 1741 | 3937 |
| 3 | 6914 | 3852 |
| 0 | 8375 | 3731 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 581 to 276 computations (52.5% saved)
Compiled 730 to 192 computations (73.7% saved)
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