
Time bar (total: 8.7s)
| 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)
| 673.0ms | 8 256× | 0 | valid |
ival-div: 174.0ms (48.1% of total)ival-add: 109.0ms (30.1% of total)ival-mult: 63.0ms (17.4% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 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 | 32 | 0 |
| ↳ | (/.f64 x y) | overflow | 28 | |
| ↳ | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | overflow | 60 | |
| ↳ | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 224 |
| 1 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 74.0ms | 512× | 0 | valid |
Compiled 81 to 28 computations (65.4% saved)
ival-div: 9.0ms (50.3% of total)ival-add: 5.0ms (27.9% of total)ival-mult: 3.0ms (16.8% 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 |
| 1 043× | div-sub |
| 510× | unsub-neg |
| 448× | sub-neg |
| 409× | distribute-lft-in |
| 396× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 65 |
| 1 | 81 | 57 |
| 2 | 207 | 55 |
| 3 | 680 | 55 |
| 4 | 1654 | 55 |
| 5 | 3109 | 55 |
| 6 | 4447 | 55 |
| 7 | 5053 | 55 |
| 8 | 5609 | 55 |
| 9 | 6055 | 55 |
| 10 | 6151 | 55 |
| 11 | 6653 | 55 |
| 12 | 7061 | 55 |
| 13 | 7281 | 55 |
| 14 | 7593 | 55 |
| 15 | 7817 | 55 |
| 16 | 7825 | 55 |
| 17 | 7825 | 55 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 26 | 11 |
| 2 | 35 | 11 |
| 3 | 63 | 11 |
| 4 | 100 | 11 |
| 5 | 157 | 11 |
| 6 | 238 | 11 |
| 7 | 269 | 11 |
| 8 | 275 | 11 |
| 9 | 289 | 11 |
| 10 | 291 | 11 |
| 11 | 291 | 11 |
| 12 | 292 | 11 |
| 13 | 294 | 11 |
| 14 | 302 | 11 |
| 0 | 302 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 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))) |
| 83× | lower-*.f32 |
| 82× | lower-*.f64 |
| 49× | associate-*r* |
| 46× | lower-fma.f64 |
| 46× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 26 | 32 |
| 2 | 35 | 32 |
| 3 | 63 | 32 |
| 4 | 100 | 32 |
| 5 | 157 | 32 |
| 6 | 238 | 32 |
| 7 | 269 | 32 |
| 8 | 275 | 32 |
| 9 | 289 | 32 |
| 10 | 291 | 32 |
| 11 | 291 | 32 |
| 12 | 292 | 32 |
| 13 | 294 | 32 |
| 14 | 302 | 32 |
| 0 | 302 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
x |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
y |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 0.0625 | (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) | |
| accuracy | 7.516364810597724 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 18.0ms | 256× | 0 | valid |
Compiled 34 to 10 computations (70.6% saved)
ival-div: 4.0ms (45.7% of total)ival-add: 3.0ms (34.2% of total)ival-mult: 2.0ms (22.8% 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 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 (/ (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 (/ (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 (/ (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 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 (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 (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 (/ 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 (+.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 (/ (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 (+ 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 (/ 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 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 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 (/.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 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 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 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 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 (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 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 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 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 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 x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (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>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (* x (+ (/ x y) 1)) (+ x 1)) |
| 1.0ms | x | @ | inf | (* x (+ (/ x y) 1)) |
| 1.0ms | x | @ | -inf | (* x (+ (/ x y) 1)) |
| 0.0ms | x | @ | 0 | (* x (+ (/ x y) 1)) |
| 0.0ms | x | @ | inf | (/ (* x (+ (/ x y) 1)) (+ x 1)) |
| 1× | egg-herbie |
| 10 765× | lower-fma.f64 |
| 10 765× | lower-fma.f32 |
| 2 207× | lower-*.f64 |
| 2 207× | lower-*.f32 |
| 1 567× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3422 | 635 |
| 0 | 9168 | 612 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x 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))) |
(/ (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))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
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 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)))) |
(/ (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)))) |
(/ 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 (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
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) |
(/ (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) |
(/ (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) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 y x) y)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 y x) y)) |
(/ (+ (* x y) (pow x 2)) y) |
(*.f64 x (/.f64 (+.f64 y 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 |
(+ 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 |
(* 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 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 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) |
(/ 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)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
(* 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 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) x)) x)) 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 (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x y)) |
(+.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 (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
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)) |
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 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 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 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 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 |
#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) |
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 |
(* 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) |
| 1 794× | lower-*.f32 |
| 1 793× | lower-*.f64 |
| 1 656× | lower-/.f32 |
| 1 654× | lower-/.f64 |
| 1 648× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 (*.f64 y y) y)) #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x) (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) (/.f64 x y)))) (+.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) x)) |
(*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) x)) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(pow.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x (*.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x)) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (*.f64 (/.f64 x y) x) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 x y) x)) |
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(fma.f64 x (/.f64 x y) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 x y) x x))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 10 937 to 1 189 computations (89.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 14 | 499 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 486 | 14 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 88.2% | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) | |
| 88.2% | (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 77.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (+.f64 x #s(literal 1 binary64))) | |
| 39.1% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| 88.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
| ▶ | 48.2% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
| 56.6% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| ▶ | 46.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) |
| 86.8% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) | |
| 50.1% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 37.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 44.5% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
Compiled 376 to 210 computations (44.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) | |
| cost-diff | 128 | (+.f64 (neg.f64 x) #s(literal 1 binary64)) | |
| cost-diff | 128 | (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) x x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 128 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
| 6 083× | lower-fma.f32 |
| 6 080× | lower-fma.f64 |
| 1 323× | unsub-neg |
| 1 216× | lower-*.f32 |
| 1 213× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 189 |
| 0 | 49 | 185 |
| 1 | 92 | 179 |
| 2 | 155 | 179 |
| 3 | 404 | 179 |
| 4 | 1134 | 177 |
| 5 | 3147 | 177 |
| 6 | 5721 | 177 |
| 7 | 7917 | 177 |
| 0 | 8097 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(-.f64 (/.f64 x y) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x y) |
x |
y |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (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)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (fma.f64 x x (neg.f64 x)) (-.f64 x (/.f64 x y)) x)) |
(fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) |
(fma.f64 (fma.f64 x x (neg.f64 x)) (-.f64 x (/.f64 x y)) x) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(-.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
y |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.03125 | (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) | |
| accuracy | 3.75925593667237 | (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) | |
| accuracy | 30.641772786759656 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.05859375 | (fma.f64 (/.f64 x y) x x) | |
| accuracy | 7.516364810597724 | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (+.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 33.0771031150575 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 39.72700976269731 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 x y)) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 6.642987749269572 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) |
| 50.0ms | 256× | 0 | valid |
Compiled 166 to 29 computations (82.5% saved)
ival-add: 13.0ms (37.7% of total)ival-mult: 10.0ms (29% of total)ival-div: 8.0ms (23.2% of total)ival-sub: 1.0ms (2.9% of total)ival-neg: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) x x) (patch (fma.f64 (/.f64 x y) x x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (patch (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 x) #s(literal 1 binary64)) (patch (+.f64 (neg.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor -inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) (patch (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (/ 1 y) 1))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))) (taylor 0 x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 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 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 x)) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ 1 x)) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) (taylor -inf y) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ x y)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) (taylor -inf y) (#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | inf | (+ 1 (/ x y)) |
| 1.0ms | x | @ | inf | (+ (* (/ 1 y) (+ x -1)) 1) |
| 1.0ms | y | @ | 0 | (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) |
| 0.0ms | y | @ | 0 | (/ (+ (* (/ x y) x) x) (+ x 1)) |
| 0.0ms | y | @ | inf | (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) |
| 1× | egg-herbie |
| 8 912× | lower-fma.f64 |
| 8 912× | lower-fma.f32 |
| 1 993× | lower-*.f64 |
| 1 993× | lower-*.f32 |
| 1 832× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 3764 |
| 1 | 549 | 3464 |
| 2 | 1638 | 2847 |
| 3 | 7400 | 2830 |
| 0 | 8319 | 2736 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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) |
(* -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) (* 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)))) |
(/ 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 (- (/ 1 y) 1))) |
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))) |
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))) |
(/ 1 y) |
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))) |
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) |
(- (+ (/ 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 (/ (- (/ 1 y) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(/ x (* y (+ 1 x))) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(* x (+ (/ 1 x) (/ 1 y))) |
(/ x y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
(/ (+ x y) y) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
1 |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(+ 1 (/ x y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x 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)))) |
(/ (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)))) |
(/ 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) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
x |
(* 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) |
(* -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) (* 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)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
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) |
(* -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 (+ 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)))) |
(/ 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 (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x 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))) |
(/ (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))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1)))) |
(* -1 (* (pow x 3) (- (/ 1 y) 1))) |
(* (pow x 3) (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 3) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 3) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* -1 (* (pow x 3) (- (/ 1 y) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (+ (/ 1 x) (/ 1 y)) 1) x)) (/ 1 y)) 1))) |
(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (+ (/ 1 x) (/ 1 y)) 1) x)) (/ 1 y)) 1))) |
(/ (* (pow x 2) (- 1 x)) y) |
(/ (+ (* y (+ x (* -1 (* (pow x 2) (- 1 x))))) (* (pow x 2) (- 1 x))) y) |
(/ (+ (* y (+ x (* -1 (* (pow x 2) (- 1 x))))) (* (pow x 2) (- 1 x))) y) |
(/ (+ (* y (+ x (* -1 (* (pow x 2) (- 1 x))))) (* (pow x 2) (- 1 x))) y) |
(+ x (* -1 (* (pow x 2) (- 1 x)))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(+ x (* -1 (* (pow x 2) (- 1 x)))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(+ x (+ (* -1 (* (pow x 2) (- 1 x))) (/ (* (pow x 2) (- 1 x)) y))) |
(- (/ 1 y) 1) |
(- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1) |
(- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1) |
(- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1) |
(* -1 (* x (- (/ 1 y) 1))) |
(* x (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* x (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* x (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(* -1 (- 1 x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(* -1 (- 1 x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
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) |
(* -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) (* 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)))) |
(/ 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) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
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)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x 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 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y))) x (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (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) x (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (- (/ 1 y) 1))) |
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) y)) |
(- (+ (/ 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) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(- (+ (/ 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(-.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) (/.f64 #s(literal -1 binary64) y)) |
(/ x (* y (+ 1 x))) |
(/.f64 x (fma.f64 y x y)) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) y) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
(/ 1 (+ 1 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 y x y))) |
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 (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(* x (+ (/ 1 x) (/ 1 y))) |
(+.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
(/ (+ x y) y) |
(/.f64 (+.f64 y x) y) |
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)) |
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 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 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 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 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 |
(* 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)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x 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 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y))) x (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (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) x (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ (- x 1) y) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ x y) 1) y) |
(/.f64 (-.f64 y (-.f64 #s(literal 1 binary64) x)) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y) |
(/ (- (+ 1 (* -1 (* y (- 1 x)))) x) y) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) x)) y) |
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (- 1 x)) |
(-.f64 x #s(literal 1 binary64)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
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)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x 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 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y))) x (/.f64 #s(literal -1 binary64) x)) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x y)) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y)))) |
(fma.f64 (/.f64 (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) x (/.f64 x y)) |
(/ (pow x 2) (* y (+ 1 x))) |
(*.f64 (/.f64 x (fma.f64 y x y)) x) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/ x (+ 1 x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 2 409× | lower-*.f32 |
| 2 406× | lower-*.f64 |
| 2 404× | lower-/.f32 |
| 2 400× | lower-/.f64 |
| 2 318× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 157 |
| 0 | 49 | 152 |
| 1 | 220 | 147 |
| 2 | 1791 | 147 |
| 0 | 8951 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x y) x x) |
(+.f64 x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x) |
(*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) |
(+.f64 #s(literal 1 binary64) x) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (neg.f64 (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (neg.f64 (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (neg.f64 (*.f64 x x))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (neg.f64 (*.f64 x x))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 26 809 to 2 379 computations (91.1% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 306 | 16 | 1 322 |
| Fresh | 6 | 3 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 315 | 21 | 1 336 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 88.2% | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
| 77.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (+.f64 x #s(literal 1 binary64))) | |
| 39.1% | (/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) | |
| 88.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) x x))) | |
| 50.1% | (*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) | |
| ▶ | 52.0% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
| 44.5% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) | |
| 37.8% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) | |
| 38.2% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) | |
| ▶ | 56.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| ▶ | 50.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 48.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| 63.0% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x x)) | |
| 45.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) | |
| 41.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) | |
| 26.7% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)))) | |
| ✓ | 37.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 37.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ▶ | 13.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| 10.4% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
Compiled 554 to 284 computations (48.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) 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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 x y) x) x) |
| 3 600× | lower-fma.f32 |
| 3 598× | lower-fma.f64 |
| 748× | lower-*.f32 |
| 746× | lower-*.f64 |
| 660× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 198 |
| 0 | 51 | 198 |
| 1 | 90 | 194 |
| 2 | 141 | 194 |
| 3 | 308 | 194 |
| 4 | 642 | 194 |
| 5 | 1667 | 194 |
| 6 | 3847 | 194 |
| 7 | 5274 | 194 |
| 8 | 5815 | 194 |
| 9 | 5953 | 194 |
| 10 | 5999 | 194 |
| 11 | 6009 | 194 |
| 12 | 6009 | 194 |
| 13 | 6029 | 194 |
| 14 | 6031 | 194 |
| 15 | 6031 | 194 |
| 16 | 6523 | 194 |
| 17 | 6777 | 194 |
| 18 | 6789 | 194 |
| 19 | 6837 | 194 |
| 20 | 6841 | 194 |
| 21 | 6853 | 194 |
| 22 | 6855 | 194 |
| 23 | 6855 | 194 |
| 0 | 6855 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ 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 |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
y |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(fma.f64 (/.f64 x y) x x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 x (-.f64 x #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (/ x y) x) x) (+ 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 |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.015625 | (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) | |
| accuracy | 30.681447910700776 | #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 x y) x) | |
| accuracy | 0.03515625 | (fma.f64 (-.f64 (/.f64 x y) x) x x) | |
| accuracy | 27.75549737341713 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (/.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 31.92081495725541 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 33.0771031150575 | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) | |
| accuracy | 40.37656540941855 | #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 (*.f64 (/.f64 x y) x) x) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 7.516364810597724 | (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
| 120.0ms | 256× | 0 | valid |
Compiled 151 to 29 computations (80.8% saved)
ival-mult: 56.0ms (52.8% of total)ival-add: 25.0ms (23.6% of total)ival-div: 22.0ms (20.7% of total)ival-sub: 2.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) (patch #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) x)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (/.f64 x y) x) x x) (patch (fma.f64 (-.f64 (/.f64 x y) x) x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x y) x) (patch (-.f64 (/.f64 x y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (pow x 2)) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (pow x 2) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) x) x) (patch (+.f64 (*.f64 (/.f64 x y) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* x (- (/ 1 y) 1)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) (* y (+ 1 x))) (taylor 0 y) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.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 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.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 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.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 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor inf y) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.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 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 x)) (taylor -inf y) (#s(alt (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 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 x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (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>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | -inf | (+ (* (- (/ x y) x) x) x) |
| 2.0ms | y | @ | inf | (+ (* (- 1 x) (- (/ x y) x)) 1) |
| 0.0ms | x | @ | -inf | (+ (* (- 1 x) (- (/ x y) x)) 1) |
| 0.0ms | y | @ | 0 | (+ (* (- (/ x y) x) x) x) |
| 0.0ms | x | @ | 0 | (* (/ x y) x) |
| 1× | egg-herbie |
| 7 764× | lower-fma.f64 |
| 7 764× | lower-fma.f32 |
| 1 772× | lower-*.f64 |
| 1 772× | lower-*.f32 |
| 1 709× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 3866 |
| 1 | 602 | 3657 |
| 2 | 1667 | 2947 |
| 3 | 7053 | 2928 |
| 0 | 8050 | 2812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x 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))) |
(/ (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))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
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 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 (/ (- 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 (+ 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)))) |
(/ 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) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x 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)))) |
(/ (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)))) |
(/ 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) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- 1 (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
x |
(* 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) |
(* -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 (+ 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)))) |
(/ 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 (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1)))) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2))))) |
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))))) |
(/ x y) |
(* -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 (+ 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)))) |
(/ 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 (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* x (+ 1 (* x (- (/ 1 y) 1)))) |
(* (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)) |
(* -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))) |
(/ (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 (* -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))) |
(+ 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))) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* x (- (/ 1 y) 1)) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(* -1 (* x (- 1 (/ 1 y)))) |
(/ x y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(/ (+ x (* -1 (* x y))) y) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ x y) x) |
(* -1 x) |
(- (/ x y) x) |
(- (/ x y) x) |
(- (/ 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 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)))) |
(/ (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)))) |
(/ 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 (- (/ 1 y) 1))) |
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))) |
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))) |
(/ 1 y) |
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))) |
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) |
(- (+ (/ 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 (/ (- (/ 1 y) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(/ x (* y (+ 1 x))) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1))) |
(+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1))) |
(* -1 (* (pow x 2) (- (/ 1 y) 1))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (+ (/ 1 x) (/ 1 y))) x))) (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (+ (/ 1 x) (/ 1 y))) x))) (/ 1 y))) |
(/ (* x (- 1 x)) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(+ 1 (* -1 (* x (- 1 x)))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (* -1 (* x (- 1 x)))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
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) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
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(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (+ (/ 1 x) (/ 1 y))) x))) (/ 1 y))) |
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) x)) x) |
(/ (* x (- 1 x)) y) |
(/.f64 (fma.f64 (neg.f64 x) x x) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) x x) y) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) x x) y) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) x x) y) y) |
(+ 1 (* -1 (* x (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (* x (- 1 x)))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(fma.f64 (-.f64 x (/.f64 x y)) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* 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) |
| 2 678× | lower-/.f32 |
| 2 675× | lower-/.f64 |
| 2 468× | lower-*.f32 |
| 2 466× | lower-*.f64 |
| 1 695× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 176 |
| 0 | 51 | 176 |
| 1 | 229 | 172 |
| 2 | 1769 | 172 |
| 0 | 8490 | 167 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) x) x) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ 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 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (/.f64 x y) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 x (*.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x y) x)) (*.f64 (*.f64 x x) x)) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (fma.f64 x x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x y) x)) (*.f64 (*.f64 x x) x)) y))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 x y) (/.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(fma.f64 x (/.f64 x y) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 x y) x))) (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x (*.f64 (/.f64 x y) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
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(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 (/.f64 x y) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 x y) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 x y) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 x y) x) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 (/.f64 x y) x) (-.f64 (/.f64 x y) x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (neg.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 18 302 to 1 631 computations (91.1% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 982 | 13 | 995 |
| Fresh | 9 | 5 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 992 | 24 | 1 016 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| ▶ | 88.2% | (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
| 77.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (+.f64 x #s(literal 1 binary64))) | |
| 50.1% | (*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) | |
| ✓ | 52.0% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
| 51.2% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) | |
| 37.8% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) | |
| 41.7% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) | |
| ▶ | 38.2% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
| 56.5% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) | |
| ✓ | 56.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| 56.4% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| 40.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| ▶ | 31.8% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 50.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 50.0% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) | |
| ▶ | 48.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| 56.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) | |
| ▶ | 41.7% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
| 13.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| 20.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) | |
| ✓ | 37.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| 37.3% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| ✓ | 13.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
Compiled 475 to 253 computations (46.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y x y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) | |
| cost-diff | 0 | #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (/.f64 x (/.f64 y x)) x) | |
| cost-diff | 384 | (/.f64 x (/.f64 y x)) |
| 3 950× | lower-fma.f32 |
| 3 948× | lower-fma.f64 |
| 989× | lower-*.f32 |
| 987× | lower-*.f64 |
| 720× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 225 |
| 0 | 50 | 225 |
| 1 | 80 | 225 |
| 2 | 117 | 225 |
| 3 | 242 | 225 |
| 4 | 498 | 225 |
| 5 | 1429 | 225 |
| 6 | 3921 | 225 |
| 7 | 6397 | 225 |
| 8 | 7441 | 225 |
| 9 | 7878 | 225 |
| 0 | 8004 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 x (/.f64 y x)) x) |
(/.f64 x (/.f64 y x)) |
x |
(/.f64 y x) |
y |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 x (/.f64 y x)) x) |
(fma.f64 (/.f64 x y) x x) |
(/.f64 x (/.f64 y x)) |
(/.f64 (*.f64 x x) y) |
x |
(/.f64 y x) |
y |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) |
#s(approx (/ x (+ 1 x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) |
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
x |
(fma.f64 y x y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y x y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 18.841396935533837 | (/.f64 (*.f64 x x) (fma.f64 y x y)) | |
| accuracy | 31.475857194462467 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 x #s(literal 1 binary64)) y) | |
| accuracy | 33.0771031150575 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0390625 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) | |
| accuracy | 30.296841322862154 | #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) | |
| accuracy | 31.92081495725541 | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) | |
| accuracy | 30.681447910700776 | #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) | |
| accuracy | 39.73132254177649 | #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (+.f64 (/.f64 x (/.f64 y x)) x) | |
| accuracy | 0.20776309403593943 | (/.f64 x (/.f64 y x)) | |
| accuracy | 7.516364810597724 | (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
| 77.0ms | 256× | 0 | valid |
Compiled 159 to 32 computations (79.9% saved)
ival-div: 25.0ms (52.8% of total)ival-add: 10.0ms (21.1% of total)ival-mult: 9.0ms (19% of total)ival-sub: 3.0ms (6.3% 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 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) (patch (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) (patch #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) (patch #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x #s(literal 1 binary64)) y) (patch (/.f64 (-.f64 x #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) (patch #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (fma.f64 y x y)) (patch (/.f64 (*.f64 x x) (fma.f64 y x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x y) (patch (fma.f64 y 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 x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor 0 y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf y) (#s(alt (/.f64 x (/.f64 y x)) (patch (/.f64 x (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ x y))) (taylor 0 x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (/ 1 x) (/ 1 y))) (taylor inf x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (+.f64 (/.f64 x (/.f64 y x)) x) (patch (+.f64 (/.f64 x (/.f64 y x)) x) #<representation binary64>) () ())) ()) |
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#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 (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>) () ())) ()) |
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99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/ (* x x) (+ (* y x) y)) |
| 0.0ms | y | @ | 0 | (/ (* x x) (+ (* y x) y)) |
| 0.0ms | y | @ | -inf | (/ y x) |
| 0.0ms | x | @ | 0 | (/ y x) |
| 0.0ms | y | @ | 0 | (/ y x) |
| 1× | egg-herbie |
| 6 950× | lower-fma.f64 |
| 6 950× | lower-fma.f32 |
| 2 058× | lower-+.f64 |
| 2 058× | lower-+.f32 |
| 1 567× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 4047 |
| 1 | 730 | 3807 |
| 2 | 2164 | 3182 |
| 3 | 7669 | 3182 |
| 0 | 8248 | 3055 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
(/ (pow x 2) y) |
x |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x y))) |
(* x (+ 1 (/ x 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))) |
(/ (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))) |
(/ (pow x 2) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/ (+ (* x y) (pow x 2)) y) |
x |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
(+ x (/ (pow x 2) y)) |
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 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 (/ (- 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 (+ 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)))) |
(/ x (+ 1 x)) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ 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 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)))) |
(/ (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)))) |
(/ 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 (- (/ 1 y) 1))) |
(+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))) |
(+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))) |
(/ 1 y) |
(- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))) |
(- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) |
(- (+ (/ 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 (/ (- (/ 1 y) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 y) 1) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) x)) (* -1 (- (/ 1 y) 1))) x)) (/ 1 y)) 1) x)) (/ 1 y)) |
(/ x (* y (+ 1 x))) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ (+ (/ x (+ 1 x)) (/ y (+ 1 x))) y) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(/ 1 (+ 1 x)) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
(+ (/ 1 (+ 1 x)) (/ x (* y (+ 1 x)))) |
1 |
(+ 1 (* x (- (/ 1 y) 1))) |
(+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1))) |
(+ 1 (* x (- (+ (* -1 (* x (- (/ 1 y) 1))) (/ 1 y)) 1))) |
(* -1 (* (pow x 2) (- (/ 1 y) 1))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (- (+ (* -1 (- (/ 1 y) 1)) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (+ (/ 1 x) (/ 1 y))) x))) (/ 1 y))) |
(* (pow x 2) (- (+ 1 (* -1 (/ (- 1 (+ (/ 1 x) (/ 1 y))) x))) (/ 1 y))) |
(/ (* x (- 1 x)) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(/ (+ (* x (- 1 x)) (* y (+ 1 (* -1 (* x (- 1 x)))))) y) |
(+ 1 (* -1 (* x (- 1 x)))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (* -1 (* x (- 1 x)))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* x (- 1 x)) y))) |
(+ 1 (+ (* -1 (* x (- 1 x))) (/ (* 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)))) |
(/ 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 (/ (- 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 (+ 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)))) |
(/ 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 (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- x 1)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 x))) |
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 3) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
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) |
(* -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 (+ 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)))) |
(/ 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 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
(/ (- (+ x y) 1) y) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
1 |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(- (+ 1 (/ x y)) (/ 1 y)) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
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) |
(* -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 (+ 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)))) |
(/ 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) |
(* (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 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))))) |
(/ 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)))) |
(/ (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))) |
(/ (pow x 2) (* y (+ 1 x))) |
(/ (pow x 2) (* y (+ 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)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* y (+ 1 x)) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
(* -1 (* y (- (* -1 x) 1))) |
y |
(+ y (* x y)) |
(+ y (* x y)) |
(+ y (* x y)) |
(* x y) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* x (+ y (/ y x))) |
(* 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 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
| Outputs |
|---|
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (pow x 2) y) |
(*.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 (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) x 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) |
(/ (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) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 (+.f64 y x) x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 (+.f64 y x) x) y) |
(/ (+ (* x y) (pow x 2)) y) |
(/.f64 (*.f64 (+.f64 y x) 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 |
(+ 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 |
(* 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)))) |
(*.f64 (fma.f64 (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) x (-.f64 #s(literal 1 binary64) x)) x) |
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1)))) |
(fma.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64)) x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)) x) x x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #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 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (neg.f64 x)) 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 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) y)) x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y)))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (neg.f64 x)) y)) |
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y)))) |
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(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* y (+ 1 x)) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
(* -1 (* y (- (* -1 x) 1))) |
(fma.f64 y x y) |
y |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(+ y (* x y)) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x (+ y (/ y x))) |
(fma.f64 y x y) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ y x))))) |
(fma.f64 y x y) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
| 2 772× | lower-*.f32 |
| 2 770× | lower-*.f64 |
| 2 564× | lower-/.f32 |
| 2 559× | lower-/.f64 |
| 1 666× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 207 |
| 0 | 50 | 207 |
| 1 | 247 | 207 |
| 2 | 1893 | 207 |
| 0 | 8972 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 y x)) |
(+.f64 (/.f64 x (/.f64 y x)) x) |
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 y x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) y) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(/.f64 (*.f64 x x) (fma.f64 y x y)) |
(*.f64 x x) |
(fma.f64 y x y) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 x x) y) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) |
(/.f64 x (/.f64 y x)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x))) (-.f64 x (*.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (/.f64 y (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (/.f64 y (*.f64 x x))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 x (neg.f64 y)) (neg.f64 x) x) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 y x)) x) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 x y) x)) |
(fma.f64 x (/.f64 x y) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 x y) x)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x)) (fma.f64 (/.f64 x y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x y) x x)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (/.f64 x y) x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 x y) x (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x x))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 x y) x)))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 15 081 to 1 563 computations (89.6% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 886 | 6 | 892 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 891 | 25 | 916 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.2% | (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| 56.4% | (/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(approx (+ x 1) #s(literal 1 binary64))) | |
| 77.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (+.f64 x #s(literal 1 binary64))) | |
| 50.1% | (*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) | |
| ✓ | 52.0% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
| 51.2% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) | |
| 41.7% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) | |
| ✓ | 38.2% | (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
| 56.5% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) | |
| ✓ | 56.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
| 56.4% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) | |
| 40.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) | |
| ✓ | 31.8% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
| ✓ | 50.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
| 50.0% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) | |
| 56.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) | |
| 48.8% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) | |
| 37.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) | |
| 20.6% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) | |
| ✓ | 41.7% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
| 40.3% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) | |
| 13.1% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| 7.8% | #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) | |
| ✓ | 37.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
| ✓ | 13.9% | #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
Compiled 793 to 244 computations (69.2% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
#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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 x y) x) x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 x x) x)) |
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) #s(approx (+ x 1) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 x (/.f64 y x)) x) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 x y) x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 x y) x x))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
3 calls:
| 36.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 17.0ms | x |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
#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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) 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)) |
(/.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)) |
3 calls:
| 28.0ms | x |
| 13.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | x |
| 98.5% | 3 | y |
| 99.9% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
#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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
2 calls:
| 12.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 11.0ms | x |
| 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 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
#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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 x #s(approx (+ (/ x y) 1) (/.f64 x y))) (+.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
3 calls:
| 32.0ms | (/.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 |
|---|---|---|
| 77.3% | 5 | y |
| 95.3% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 98.2% | 3 | x |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
#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 y) x) x) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 x (fma.f64 y x y))) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (* (+ (neg x) 1) (- (/ 1 y) 1)) (* x x)) x) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) x (neg.f64 x)) x x)) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (- (/ x y) x) (/.f64 x y)) #s(literal 1 binary64))) x) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
(*.f64 (/.f64 #s(approx (+ 1 (/ x y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 85.2% | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (+ (* (- (/ x y) x) x) x) (*.f64 (/.f64 x y) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (*.f64 (/.f64 x y) x))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (/.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
#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 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| 85.1% | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 #s(approx (* (+ (neg x) 1) (- (/ 1 y) 1)) (-.f64 x #s(literal 1 binary64))) (*.f64 x x) x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ (* x x) (+ (* y x) y)) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 3 | x |
| 84.2% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 16 to 10 computations (37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 4 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))) |
3 calls:
| 3.0ms | 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 |
|---|---|---|
| 40.3% | 1 | y |
| 48.8% | 3 | x |
| 53.8% | 3 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 2 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(approx (+ (* (- 1 x) (- (/ x y) x)) 1) #s(literal 1 binary64))) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.9% | 2 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | 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 |
|---|---|---|
| 13.9% | 1 | y |
| 13.9% | 1 | x |
| 13.9% | 1 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) |
Compiled 19 to 12 computations (36.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.200028935835622e+40 | 3.5338986211913606e+57 |
| 0.0ms | -2.437127537548954e+277 | -1.567582998325588e+201 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6255.785117625066 | 60543697969.964294 |
| 4.0ms | -4.48794231062455e+59 | -2.238938300167446e+52 |
| 12.0ms | 192× | 0 | valid |
Compiled 301 to 190 computations (36.9% saved)
ival-div: 3.0ms (51% of total)ival-add: 2.0ms (34% of total)ival-mult: 1.0ms (17% 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 |
|---|---|---|
| 12.0ms | 0.6272891535627619 | 27.22945613455609 |
| 13.0ms | -16486439.240775943 | -0.37635442085798837 |
| 16.0ms | 256× | 0 | valid |
Compiled 439 to 260 computations (40.8% saved)
ival-add: 5.0ms (48% of total)ival-div: 4.0ms (38.4% of total)ival-mult: 2.0ms (19.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.6272891535627619 | 27.22945613455609 |
| 1.0ms | -16486439.240775943 | -0.37635442085798837 |
Compiled 375 to 212 computations (43.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 0.6272891535627619 | 27.22945613455609 |
| 1.0ms | -16486439.240775943 | -0.37635442085798837 |
| 2.0ms | 32× | 0 | valid |
Compiled 359 to 196 computations (45.4% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6255.785117625066 | 60543697969.964294 |
| 15.0ms | -60164512105995.664 | -16486439.240775943 |
| 16.0ms | 272× | 0 | valid |
Compiled 367 to 238 computations (35.1% saved)
ival-div: 4.0ms (38.1% of total)ival-add: 4.0ms (38.1% of total)ival-mult: 2.0ms (19.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000606559152 | 1.0000251809822291 |
| 0.0ms | -16613699386.607645 | -0.6034748476462588 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0051109132453564 | 5082707.7243669415 |
| 0.0ms | -16613699386.607645 | -0.6034748476462588 |
Compiled 16 to 13 computations (18.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0051109132453564 | 5082707.7243669415 |
| 0.0ms | 0.38548106351559264 | 0.9645760090016086 |
| 0.0ms | -16613699386.607645 | -0.6034748476462588 |
Compiled 16 to 13 computations (18.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0051109132453564 | 5082707.7243669415 |
| 0.0ms | 0.38548106351559264 | 0.9645760090016086 |
| 0.0ms | -16613699386.607645 | -0.6034748476462588 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0950757471768826e+129 | 3.054098207218308e+145 |
| 0.0ms | 0.38548106351559264 | 0.9645760090016086 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.38548106351559264 | 0.9645760090016086 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.38548106351559264 | 0.9645760090016086 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1104 |
| 1 | 146 | 1104 |
| 2 | 153 | 1104 |
| 3 | 159 | 1104 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.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 -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912 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 100000000000000000620008645040778319495168 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 x #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 60000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -46000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 190000 binary64)) #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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4503689699363043/4503599627370496 binary64)) #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 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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 -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 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 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.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 -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912 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 100000000000000000620008645040778319495168 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 y x)) y)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000000057357570219907446497404120129229967567146859853820771307804544319366583914666449299233916626257196608020375872770963560895599534369611732108691868080208166641175396430819444098873307923634804982550384038403414239739984162143459594327374818907829826579083558912 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) y)) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 100000000000000000620008645040778319495168 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (+.f64 y x) (/.f64 x (+.f64 x #s(literal 1 binary64)))) y)))) |
(if (<=.f64 x #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 60000000000 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 x y) x) #s(literal 1 binary64))) x) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (fma.f64 (-.f64 (/.f64 x y) x) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 5/4 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (/.f64 x y)) x x)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -46000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 190000 binary64)) #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 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -46000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 190000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 4503689699363043/4503599627370496 binary64)) #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 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 4503689699363043/4503599627370496 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (+.f64 #s(approx (/ (- x 1) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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 -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) 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 -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 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 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal -10000000000 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 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) (if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 3999999999999999992869774256740965663955715475037650001746173358919761607623618597988463064569074240039108703867006661504928841728 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) #s(approx (/ x (+ 1 x)) #s(approx (+ (* (- x 1) (* x x)) x) (*.f64 (*.f64 x x) x)))))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (* (/ x y) x) x) (+ x 1)) (fma.f64 #s(approx (- (/ x y) x) (neg.f64 x)) x x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(approx (/ (+ 1 (/ x y)) (+ 1 x)) #s(literal 1 binary64)) x) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (+ (* (/ 1 y) (+ x -1)) 1) #s(literal 1 binary64))) |
| 10 765× | lower-fma.f64 |
| 10 765× | lower-fma.f32 |
| 8 912× | lower-fma.f64 |
| 8 912× | lower-fma.f32 |
| 7 764× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 745 |
| 1 | 250 | 724 |
| 2 | 660 | 648 |
| 3 | 3422 | 635 |
| 0 | 9168 | 612 |
| 0 | 190 | 3764 |
| 1 | 549 | 3464 |
| 2 | 1638 | 2847 |
| 3 | 7400 | 2830 |
| 0 | 8319 | 2736 |
| 0 | 247 | 4047 |
| 1 | 730 | 3807 |
| 2 | 2164 | 3182 |
| 3 | 7669 | 3182 |
| 0 | 8248 | 3055 |
| 0 | 208 | 3866 |
| 1 | 602 | 3657 |
| 2 | 1667 | 2947 |
| 3 | 7053 | 2928 |
| 0 | 8050 | 2812 |
| 0 | 8 | 29 |
| 0 | 13 | 29 |
| 1 | 62 | 29 |
| 2 | 454 | 29 |
| 3 | 7068 | 29 |
| 0 | 8044 | 27 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 400 to 517 computations (63.1% saved)
Compiled 1 148 to 194 computations (83.1% saved)
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