
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-div: 401.0ms (54.3% of total)ival-mult: 165.0ms (22.3% of total)ival-add: 157.0ms (21.3% of total)ival-true: 7.0ms (0.9% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 0 | - | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x y) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | o/n | 31 | 0 |
| ↳ | (/.f64 x y) | overflow | 35 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 66 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 0 |
| - | 0 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 0 |
| - | 0 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 79 to 28 computations (64.6% saved)
ival-div: 7.0ms (41.7% of total)ival-add: 5.0ms (29.8% of total)ival-mult: 3.0ms (17.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 88.6% | (/.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))) |
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 | 7.289527892677351 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 16.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 4.0ms (49.4% of total)ival-add: 2.0ms (24.7% of total)ival-mult: 2.0ms (24.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | |
|---|---|---|---|---|
| 22.0ms | x | @ | inf | ((* 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 | y | @ | -inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | 0 | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1.0ms | y | @ | inf | ((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1)) |
| 1× | egg-herbie |
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) |
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 |
|---|
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Compiled 9 670 to 1 220 computations (87.4% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 11 | 499 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 489 | 11 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.6% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 69.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) | |
| 88.5% | (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 39.2% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| 88.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) | |
| 52.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| ▶ | 54.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| ▶ | 89.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
| 51.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 39.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ▶ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 226 to 168 computations (25.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 384 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 y x y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) | |
| cost-diff | 512 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 180 |
| 0 | 43 | 177 |
| 1 | 83 | 177 |
| 2 | 117 | 174 |
| 3 | 248 | 174 |
| 4 | 485 | 174 |
| 5 | 936 | 174 |
| 6 | 1392 | 174 |
| 7 | 2175 | 174 |
| 8 | 4298 | 174 |
| 9 | 6810 | 174 |
| 10 | 7891 | 174 |
| 0 | 8021 | 174 |
| 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 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
(/.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) |
| 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 x (fma.f64 y x y)) (+.f64 y x))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
x |
(fma.f64 y x y) |
y |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.289527892677351 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 x (fma.f64 y x y)) x) | |
| accuracy | 8.576438122583264 | (/.f64 x (fma.f64 y x y)) | |
| accuracy | 31.61003143630698 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.04296875 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| accuracy | 29.392895408800904 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 38.71269235822371 | #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 | 0.01171875 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) | |
| accuracy | 6.822675505600404 | (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
| 82.0ms | 256× | 0 | valid |
Compiled 154 to 25 computations (83.8% saved)
ival-mult: 41.0ms (60% of total)ival-div: 18.0ms (26.4% of total)ival-add: 8.0ms (11.7% of total)ival-sub: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.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 #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (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>) () ()) |
| 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#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 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 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 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 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 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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 (/ (+ (/ (* 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 (-.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 (/ (+ (/ (* 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 (-.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 (/ (+ (/ (* 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 (-.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 (/ (pow x 2) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#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 (/ x y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (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)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (fma.f64 y x y)) x) (patch (*.f64 (/.f64 x (fma.f64 y x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 x (fma.f64 y x y)) (patch (/.f64 x (fma.f64 y x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 x)) (taylor 0 y) (#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#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 (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#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 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor inf 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 (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf 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 (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf 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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | 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) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1)) |
| 4.0ms | 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) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1)) |
| 3.0ms | 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) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1)) |
| 2.0ms | 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) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1)) |
| 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) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 4058 |
| 1 | 829 | 3847 |
| 2 | 2343 | 3342 |
| 0 | 8444 | 3182 |
| 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) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (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)))) |
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(/ x (+ 1 x)) |
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(/ (* 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) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
x |
(+ 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)))) |
(/ 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) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ y (* x (- 1 y)))) |
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y)))) |
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
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 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ (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 (* 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 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 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))) |
| 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) |
(/ (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) |
(/ (+ (* 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))) |
(/ (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))) |
(/ 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))) |
(/ (+ (/ (* 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) |
(/ 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) |
(/ 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)))) |
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#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 x y) x) x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(* x (- (/ 1 y) 1)) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) (/.f64 x y)) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) (/.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (/ 1 y) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1 binary64) y))) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(* x (+ y (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) y) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64)) |
(/ (pow x 2) 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 (* 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 (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))))) |
(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 (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 #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 #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 (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) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (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) |
(/ 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 (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 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) x) (/.f64 x y)) 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) x) y)) |
(+ (* -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) x) y)) 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) x) y) (/.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 (/ (- 1 (/ 1 y)) 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 (/ (- 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)) |
(/ (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) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 156 |
| 0 | 43 | 152 |
| 1 | 195 | 150 |
| 2 | 1470 | 150 |
| 0 | 8215 | 150 |
| 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) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(-.f64 (/.f64 x y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/.f64 x (fma.f64 y x y)) |
(fma.f64 y x y) |
(/.f64 (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)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 18 483 to 2 702 computations (85.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 041 | 13 | 1 054 |
| Fresh | 6 | 0 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 050 | 15 | 1 065 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| 53.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| ▶ | 43.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ▶ | 69.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
| ▶ | 52.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
| 36.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| ▶ | 99.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
| 45.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) | |
| ✓ | 39.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x))) | |
| ✓ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) | |
| ▶ | 18.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| 38.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
Compiled 247 to 192 computations (22.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (*.f64 (+.f64 y x) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) | |
| cost-diff | 128 | (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) | |
| cost-diff | 704 | (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 268 |
| 0 | 53 | 264 |
| 1 | 98 | 260 |
| 2 | 149 | 260 |
| 3 | 289 | 260 |
| 4 | 616 | 255 |
| 5 | 1082 | 255 |
| 6 | 2175 | 246 |
| 7 | 4444 | 246 |
| 0 | 8440 | 246 |
| 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 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) |
#s(literal 1 binary64) |
(/.f64 (+.f64 y x) y) |
(+.f64 y x) |
y |
x |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(fma.f64 y x y) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) |
(/.f64 (+.f64 y x) y) |
#s(literal 1 binary64) |
(/.f64 (+.f64 y x) y) |
(+.f64 y x) |
y |
x |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
(fma.f64 (/.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) y) x #s(approx (/ x (+ 1 x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
y |
x |
(fma.f64 y x y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 y x) x) | |
| accuracy | 19.33754925467247 | (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) | |
| accuracy | 6.822675505600404 | (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) | |
| accuracy | 30.350991465538517 | #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.19140625 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) | |
| accuracy | 31.61003143630698 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) | |
| accuracy | 32.4051211715636 | #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.04296875 | (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) | |
| accuracy | 29.392895408800904 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| accuracy | 31.47338062052145 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 y x) y) | |
| accuracy | 0.08984375 | (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
| 90.0ms | 256× | 0 | valid |
Compiled 191 to 29 computations (84.8% saved)
ival-div: 18.0ms (46.3% of total)ival-mult: 11.0ms (28.3% of total)ival-add: 7.0ms (18% of total)ival-sub: 1.0ms (2.6% of total)ival-neg: 1.0ms (2.6% 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 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) (patch (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (patch #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) x) (patch (*.f64 (+.f64 y x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) (patch (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (patch (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (patch (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) 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)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) 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)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) 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)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x y) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) y) (patch (/.f64 (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) y) (taylor 0 y) (#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.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(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.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(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.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(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) (patch (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y))) |
| 5.0ms | y | @ | -inf | ((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | x | @ | -inf | ((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | y | @ | 0 | ((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y))) |
| 2.0ms | x | @ | inf | ((/ (* 1 (/ (+ y x) y)) (/ (+ 1 x) x)) (* 1 (/ (+ y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* (/ x (+ 1 x)) (+ y x)) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ 1 x)) (+ y x)) (/ x (+ 1 x)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ y x) x) (+ y x) (+ (* y x) y) (/ (+ 1 x) x) (/ (* (+ y x) x) (+ (* y x) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 5138 |
| 1 | 820 | 4893 |
| 2 | 2259 | 4219 |
| 0 | 8142 | 4056 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ 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 (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (+ 1 x)) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(pow x 2) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
(+ (* x y) (pow x 2)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ 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 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(* y (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* x y) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
(* y (+ x (/ (pow x 2) y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ x (* -1 (pow x 2))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(+ x (+ (* -1 (pow x 2)) (/ (pow x 2) y))) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* -1 (/ x (* y (- (* -1 x) 1)))) |
(/ 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 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ (* x y) (+ 1 x)) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(* -1 (* y (+ (* -1 (/ x (+ 1 x))) (* -1 (/ (pow x 2) (* y (+ 1 x))))))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (/ x (- (* -1 x) 1))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
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 |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x 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 (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ y (* x (- 1 y)))) |
(* x (+ y (* x (- (+ 1 (* x (- y 1))) y)))) |
(* x (+ y (* x (- (+ 1 (* x (- (+ y (* x (- 1 y))) 1))) y)))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(* x y) |
(* x (+ x y)) |
(* x (+ x y)) |
(* x (+ x y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(/ x y) |
(/ x 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)))))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
x |
(* x (- (+ 1 (/ y x)) (/ 1 x))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (/ y x))) (+ (/ 1 x) (/ y (pow x 2))))) |
(* x (- (+ 1 (+ (/ 1 (pow x 2)) (+ (/ y x) (/ y (pow x 3))))) (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ y (pow x 2)))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* -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) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(/ x y) |
(/ 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)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
x |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ 1 x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ y x)) (/ 1 x))) x))) x)) 1))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
(* (pow x 2) (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
| Outputs |
|---|
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (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) |
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(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 248 |
| 0 | 53 | 244 |
| 1 | 215 | 240 |
| 2 | 1584 | 240 |
| 0 | 8601 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (+.f64 y x) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
(*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) |
#s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
(*.f64 (+.f64 y x) x) |
(+.f64 y x) |
(fma.f64 y x y) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y)) |
| Outputs |
|---|
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Compiled 25 783 to 3 267 computations (87.3% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 491 | 5 | 1 496 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 497 | 14 | 1 511 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 53.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
| 54.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) | |
| ✓ | 43.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| ▶ | 75.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
| 36.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 52.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) | |
| 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 39.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ✓ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ▶ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
| ▶ | 43.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
| ✓ | 18.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| ▶ | 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
Compiled 209 to 168 computations (19.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 x (+.f64 (*.f64 y x) y)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) | |
| cost-diff | 128 | (+.f64 (*.f64 y x) y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (/.f64 x y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| cost-diff | 0 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) | |
| cost-diff | 128 | (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) | |
| cost-diff | 192 | (/.f64 (fma.f64 x y y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 257 |
| 0 | 52 | 250 |
| 1 | 88 | 250 |
| 2 | 121 | 250 |
| 3 | 261 | 250 |
| 4 | 496 | 250 |
| 5 | 875 | 250 |
| 6 | 1344 | 235 |
| 7 | 2144 | 235 |
| 8 | 4246 | 235 |
| 0 | 8192 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) |
(+.f64 x y) |
x |
y |
(/.f64 (fma.f64 x y y) x) |
(fma.f64 x y y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) |
(/.f64 x (+.f64 (*.f64 y x) y)) |
x |
(+.f64 (*.f64 y x) y) |
(*.f64 y x) |
y |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y))) |
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) |
(/.f64 (+.f64 y x) (+.f64 (/.f64 y x) y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(/.f64 (fma.f64 x y y) x) |
(+.f64 (/.f64 y x) y) |
(fma.f64 x y y) |
(fma.f64 y x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
(fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 (/.f64 y x) y))) |
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) |
(/.f64 x (+.f64 (/.f64 y x) y)) |
(/.f64 x (+.f64 (*.f64 y x) y)) |
(/.f64 x (fma.f64 y x y)) |
x |
(+.f64 (*.f64 y x) y) |
(fma.f64 y x y) |
(*.f64 y x) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 (*.f64 y x) y) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) | |
| accuracy | 8.576438122583264 | (/.f64 x (+.f64 (*.f64 y x) y)) | |
| accuracy | 31.61003143630698 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.04296875 | (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) | |
| accuracy | 29.392895408800904 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| accuracy | 31.202694804323666 | #s(approx (- (/ x y) x) (/.f64 x y)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.19140625 | (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 30.146421274900096 | #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 31.61003143630698 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.06640625 | (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) | |
| accuracy | 29.392895408800904 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) | |
| accuracy | 31.47338062052145 | #s(approx (- (/ x y) x) (neg.f64 x)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) | |
| accuracy | 7.072204252824971 | (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) | |
| accuracy | 8.503265020339912 | (/.f64 (fma.f64 x y y) x) |
| 57.0ms | 256× | 0 | valid |
Compiled 177 to 26 computations (85.3% saved)
ival-add: 19.0ms (44.4% of total)ival-mult: 11.0ms (25.7% of total)ival-div: 10.0ms (23.4% of total)ival-sub: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% 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 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) (patch (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (neg.f64 x)) (patch #s(approx (- (/ x y) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) (patch (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x y) x) (/.f64 x y)) (patch #s(approx (- (/ x y) x) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 y x) y) (patch (+.f64 (*.f64 y x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 (*.f64 y x) y)) (patch (/.f64 x (+.f64 (*.f64 y x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) (patch (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ 1 x)) x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y y) x) (patch (/.f64 (fma.f64 x y 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 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y 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 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y 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 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y 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 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) (patch (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x)) |
| 3.0ms | y | @ | -inf | ((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x)) |
| 2.0ms | x | @ | -inf | ((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x)) |
| 2.0ms | y | @ | 0 | ((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x)) |
| 2.0ms | y | @ | inf | ((/ (+ (* x y) y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (+ x y) (/ (+ (* x y) y) x)) (+ x y) (* (+ (- (/ x y) x) 1) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (- (/ x y) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ 1 y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (* (- (/ x y) x) x) x) (- (/ x y) x) (/ x y) (+ (* y x) y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (+ (* y x) y)) (* y x) (neg x) (* (/ x (+ (* y x) y)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4896 |
| 1 | 550 | 4666 |
| 2 | 1509 | 4158 |
| 3 | 5221 | 3954 |
| 0 | 8184 | 3784 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ (pow x 2) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ x y) |
(/ (+ x (* y (- 1 x))) y) |
(/ (+ x (* y (- 1 x))) y) |
(/ (+ x (* y (- 1 x))) y) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
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(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
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(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ 1 y) |
(/ 1 y) |
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(/ (pow x 2) (* y (+ 1 x))) |
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(/ (+ (/ (* 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) |
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(* x y) |
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(/ (pow x 2) (* y (+ 1 x))) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
(/ (* y (+ 1 x)) x) |
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y |
(* y (+ 1 (/ x y))) |
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(- 1 x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
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(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
(/ x (* y (+ 1 x))) |
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(/ 1 y) |
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(* -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)) |
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(/ x (* y (+ 1 x))) |
(* x y) |
(* x y) |
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(- 1 x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(- (+ 1 (/ x y)) x) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(/ x (+ 1 x)) |
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(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))) |
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(/ 1 y) |
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(+ 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) |
(* -1 (* y (- (* -1 x) 1))) |
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(/ x (+ 1 x)) |
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(* -1 (/ x (* y (- (* -1 x) 1)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -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)))) |
(/ 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)))) |
y |
(+ x y) |
(+ x y) |
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x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (/ 1 y) 1))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ (pow x 2) y) |
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(/ x y) |
(* x (+ (* -1 (/ x y)) (/ 1 y))) |
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y))) |
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
x |
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(/ 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 (+ (* -1 (/ x y)) (/ 1 y))) |
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(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (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))) |
y |
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(+ y (/ y x)) |
(+ y (/ y x)) |
(/ x y) |
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(* 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) |
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(* 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))) |
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(* x (+ 1 (/ y x))) |
(* (pow x 2) (- (/ 1 y) 1)) |
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
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(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
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(/ x y) |
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(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))) |
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(* (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)))))) |
(/ 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) |
(* x y) |
(* x y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x y) |
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(* 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 |
(+ 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 |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* (pow x 2) (- 1 (/ 1 y)))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(* (pow x 2) (+ (* -1 (- 1 (/ 1 y))) (/ 1 x))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(/ 1 y) |
(- (/ 1 y) (/ 1 (* x y))) |
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) |
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y)) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(* -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)))) |
(/ 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) |
(* x y) |
(* x y) |
(* x y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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)))) |
| Outputs |
|---|
(/ (* 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 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ (+ (* x (* y (- 1 x))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* y (- 1 x))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y) |
(/ (+ x (* y (- 1 x))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y) |
(/ (+ x (* y (- 1 x))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y x) y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ (+ (* y (+ x (* -1 (pow x 2)))) (pow x 2)) y) |
(*.f64 (/.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ (+ x (* -1 (* x y))) y) |
(-.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 x y)) y) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y 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) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* x (- 1 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) x) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(+ (* x (- 1 x)) (/ (pow x 2) y)) |
(fma.f64 (-.f64 (/.f64 x y) x) x x) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) x) |
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) |
(- (+ 1 (/ x y)) x) |
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) |
(- (+ 1 (/ x y)) x) |
(-.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) 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 (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ 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 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ x (* -1 (pow x 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) 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) |
(/.f64 x y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(* y (+ 1 x)) |
(fma.f64 x y y) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 x y y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 (/.f64 y x) y) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 (/.f64 y x) y) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 (/.f64 y x) y) |
(* -1 (/ (* y (- (* -1 x) 1)) x)) |
(+.f64 (/.f64 y x) y) |
(/ x (+ 1 x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
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(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)))) |
(-.f64 (/.f64 x y) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) x)) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) x)) x) x)) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 242 |
| 0 | 52 | 235 |
| 1 | 209 | 235 |
| 2 | 1321 | 235 |
| 0 | 8800 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x y y) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x)) |
(+.f64 x y) |
(*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
(+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) |
#s(approx (- (/ x y) x) (neg.f64 x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x) |
#s(approx (- (/ x y) x) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 y x) y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
(/.f64 x (+.f64 (*.f64 y x) y)) |
(*.f64 y x) |
(neg.f64 x) |
(*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x) |
| Outputs |
|---|
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Compiled 15 739 to 2 295 computations (85.4% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 034 | 5 | 1 039 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 037 | 16 | 1 053 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 53.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
| 53.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x)) | |
| ✓ | 43.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| 42.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x)))) | |
| 36.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| 52.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) | |
| 50.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) | |
| ✓ | 39.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ✓ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
| ✓ | 45.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
| ✓ | 18.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| ✓ | 39.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
| 43.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) | |
| 38.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) | |
| 15.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (/.f64 (*.f64 x x) y))) |
Compiled 457 to 235 computations (48.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
#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 (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
3 calls:
| 13.0ms | y |
| 10.0ms | x |
| 9.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
#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 (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* 1 (/ (+ y x) y)) (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x y) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
| 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)) |
3 calls:
| 159.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 11.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
#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 (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
2 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
#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 (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (+.f64 (*.f64 y x) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) x) (fma.f64 y x y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) #s(approx (/ (+ (* x y) y) x) (/.f64 y x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (/.f64 (fma.f64 y x y) x))) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (+.f64 x y) (/.f64 (fma.f64 x y y) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
3 calls:
| 9.0ms | x |
| 8.0ms | y |
| 7.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | y |
| 98.1% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 99.0% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (/ x (+ (* y x) y)) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(approx (/ x (+ 1 x)) #s(literal 1 binary64)) (+.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) |
3 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 3 | y |
| 88.1% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 88.1% | 3 | x |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.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 (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 75.8% | 3 | x |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x 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)) (/.f64 x y)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 3 | x |
| 74.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (+.f64 #s(approx (- (/ x y) x) (neg.f64 x)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | y |
| 43.9% | 1 | x |
| 43.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 12 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 43.9% | 1 | x |
| 43.9% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.5% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 38.5% | 1 | x |
| 38.5% | 1 | y |
Compiled 13 to 12 computations (7.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.248277182935987e-96 | 1.837141700071415e-95 |
| 0.0ms | -3.9919382796017983e-48 | -2.020276974967608e-59 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 18169363135751.227 | 5032144243227254000.0 |
| 5.0ms | -4.8472549700642514e+73 | -3.0521672126999643e+64 |
| 5.0ms | 80× | 0 | valid |
Compiled 109 to 98 computations (10.1% saved)
ival-add: 2.0ms (56.7% of total)ival-div: 1.0ms (28.3% of total)ival-mult: 1.0ms (28.3% 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 |
|---|---|---|
| 17.0ms | 5.234076299599394e-10 | 44295.55786201191 |
| 12.0ms | -30.066651256028695 | -0.0016080920242548002 |
| 18.0ms | 288× | 0 | valid |
Compiled 338 to 301 computations (10.9% saved)
ival-div: 6.0ms (53.3% of total)ival-add: 3.0ms (26.6% of total)ival-mult: 2.0ms (17.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 5.234076299599394e-10 | 44295.55786201191 |
| 1.0ms | -30.066651256028695 | -0.0016080920242548002 |
| 3.0ms | 64× | 0 | valid |
Compiled 320 to 301 computations (5.9% saved)
ival-div: 1.0ms (50.8% of total)ival-add: 1.0ms (50.8% 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 |
|---|---|---|
| 19.0ms | 5.234076299599394e-10 | 44295.55786201191 |
| 9.0ms | -30.066651256028695 | -0.0016080920242548002 |
| 19.0ms | 224× | 0 | valid |
Compiled 284 to 301 computations (-6% saved)
ival-div: 10.0ms (71.3% of total)ival-add: 2.0ms (14.3% of total)ival-mult: 1.0ms (7.1% 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 | 1.0168379642837644 | 25278.96061061032 |
| 0.0ms | -0.03509837741489007 | -6.891486518204265e-5 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2415235352465664e-8 | 0.9999999999999449 |
| 0.0ms | -0.03509837741489007 | -6.891486518204265e-5 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 683 |
| 1 | 111 | 683 |
| 2 | 121 | 683 |
| 3 | 137 | 683 |
| 4 | 188 | 683 |
| 5 | 253 | 683 |
| 6 | 357 | 683 |
| 7 | 489 | 683 |
| 8 | 619 | 683 |
| 9 | 697 | 683 |
| 10 | 740 | 683 |
| 11 | 770 | 683 |
| 12 | 797 | 683 |
| 13 | 808 | 683 |
| 14 | 810 | 683 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 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 -5764607523034235/288230376151711744 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 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) y)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (/.f64 (+.f64 y x) y) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 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 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -822752278660603/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (+.f64 y x)) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 6012269011901013/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 x #s(literal -1 binary64))) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -4999999999999999913683878919592799158619891437790466139288573575168 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 10000000000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 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 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 x #s(literal -30 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)) (if (<=.f64 x #s(literal 1200 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 #s(approx (* (/ x (+ 1 x)) (+ y x)) (-.f64 y (-.f64 #s(literal 1 binary64) x))) y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5764607523034235/288230376151711744 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 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) #s(literal 3022314549036573/75557863725914323419136 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (- (/ x y) x) 1) #s(literal 1 binary64)) x)) |
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 |
| 0 | 189 | 4896 |
| 1 | 550 | 4666 |
| 2 | 1509 | 4158 |
| 3 | 5221 | 3954 |
| 0 | 8184 | 3784 |
| 0 | 26 | 156 |
| 0 | 43 | 152 |
| 1 | 195 | 150 |
| 2 | 1470 | 150 |
| 0 | 8215 | 150 |
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3420 | 635 |
| 0 | 9161 | 612 |
| 0 | 37 | 248 |
| 0 | 53 | 244 |
| 1 | 215 | 240 |
| 2 | 1584 | 240 |
| 0 | 8601 | 235 |
| 0 | 263 | 5138 |
| 1 | 820 | 4893 |
| 2 | 2259 | 4219 |
| 0 | 8142 | 4056 |
| 0 | 267 | 4058 |
| 1 | 829 | 3847 |
| 2 | 2343 | 3342 |
| 0 | 8444 | 3182 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 534 to 264 computations (50.6% saved)
Compiled 674 to 192 computations (71.5% saved)
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