
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 19 computations (24% saved)
| 730.0ms | 6 727× | 0 | valid |
| 240.0ms | 1 232× | 1 | valid |
| 72.0ms | 297× | 2 | valid |
ival-pow: 367.0ms (45.4% of total)ival-<=: 167.0ms (20.7% of total)ival-add: 116.0ms (14.4% of total)adjust: 58.0ms (7.2% of total)ival-sub: 58.0ms (7.2% of total)ival-and: 20.0ms (2.5% of total)exact: 19.0ms (2.4% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 35 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 0 |
| - | 0 | 221 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 0 |
| - | 0 | 0 | 221 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 424× | 0 | valid |
| 10.0ms | 20× | 2 | valid |
| 10.0ms | 68× | 1 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow: 26.0ms (74% of total)adjust: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-sub: 3.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 120× | sub-neg |
| 84× | unsub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 80× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 14 | 23 |
| 2 | 19 | 23 |
| 3 | 25 | 23 |
| 4 | 33 | 23 |
| 5 | 48 | 23 |
| 6 | 81 | 23 |
| 7 | 106 | 23 |
| 8 | 149 | 23 |
| 9 | 164 | 23 |
| 10 | 172 | 23 |
| 0 | 172 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0 | (+.f64 x eps) | |
| accuracy | 0.036483789073768064 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.462602722154607 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 15.0ms | 212× | 0 | valid |
| 5.0ms | 34× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 9.0ms (63.2% of total)ival-add: 2.0ms (14% of total)adjust: 1.0ms (7% of total)ival-sub: 1.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 0.0ms | eps | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1× | egg-herbie |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 6 916× | lower-*.f64 |
| 6 916× | lower-*.f32 |
| 3 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 4 binary64))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
| 4 520× | lower-*.f64 |
| 4 520× | lower-*.f32 |
| 3 728× | lower-fma.f64 |
| 3 728× | lower-fma.f32 |
| 3 216× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
Compiled 15 609 to 1 219 computations (92.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 10 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 10 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) | |
| 83.7% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ▶ | 86.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ▶ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
| ▶ | 87.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| ▶ | 76.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 502 to 214 computations (57.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 128 | (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) | |
| cost-diff | 448 | (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| cost-diff | 448 | (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) | |
| cost-diff | 704 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | (+.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| 7 090× | lower-fma.f32 |
| 7 088× | lower-fma.f64 |
| 3 862× | lower-*.f32 |
| 3 840× | lower-*.f64 |
| 1 722× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 297 |
| 0 | 63 | 287 |
| 1 | 113 | 285 |
| 2 | 230 | 267 |
| 3 | 562 | 267 |
| 4 | 1576 | 267 |
| 5 | 3361 | 267 |
| 6 | 7314 | 267 |
| 0 | 8188 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) |
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
#s(literal 1 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) |
(*.f64 (/.f64 x eps) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) x) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) | |
| accuracy | 8.130928035520293 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 10.01266333788905 | (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 15.072440157170137 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) | |
| accuracy | 0.16141378162065376 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.44215667702110745 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) | |
| accuracy | 10.39165443012921 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| accuracy | 15.786452493752074 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) | |
| accuracy | 0.036483789073768064 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 7.462602722154607 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 8.457857675406272 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.13671875 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) | |
| accuracy | 0.41552001884962897 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) | |
| accuracy | 8.279257357551323 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| 66.0ms | 200× | 0 | valid |
| 22.0ms | 44× | 1 | valid |
| 13.0ms | 12× | 2 | valid |
Compiled 250 to 35 computations (86% saved)
ival-mult: 23.0ms (34.4% of total)ival-pow: 21.0ms (31.4% of total)ival-div: 8.0ms (11.9% of total)ival-sub: 5.0ms (7.5% of total)ival-add: 5.0ms (7.5% of total)adjust: 4.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (patch (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (/ (pow x 2) eps)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (/ (pow x 2) eps)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (/ (pow x 2) eps)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* -10 (/ (pow x 2) eps)) (taylor inf eps) (#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (patch (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 (/ x eps)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow x 2) (pow eps 2))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow x 2) (pow eps 2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow x 2) (pow eps 2))) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) (taylor 0 eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) (taylor inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) (taylor -inf eps) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) (patch (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 2.0ms | eps | @ | inf | (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) |
| 2.0ms | x | @ | 0 | (* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
| 1.0ms | eps | @ | 0 | (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) |
| 1.0ms | eps | @ | 0 | (* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
| 1× | egg-herbie |
| 12 678× | lower-fma.f64 |
| 12 678× | lower-fma.f32 |
| 5 052× | lower-*.f64 |
| 5 052× | lower-*.f32 |
| 3 268× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 6862 |
| 1 | 1267 | 6363 |
| 2 | 4198 | 5437 |
| 3 | 7836 | 5437 |
| 0 | 8743 | 5105 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) eps)) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) eps) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (- (* 5 (* eps x)) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2)) |
(/ (- (* eps (+ eps (* 5 x))) (* -10 (pow x 2))) (pow eps 2)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (/ (pow eps 2) x)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* -10 (/ (pow x 2) eps)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
| Outputs |
|---|
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (*.f64 x (*.f64 x x))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x))) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))) x)) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x))) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) x))) x)) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 x (*.f64 x #s(literal 10 binary64)) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (neg.f64 eps))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) x)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 x))) x)) x)))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 x (*.f64 x #s(literal 10 binary64)) (/.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) (neg.f64 eps))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (-.f64 (neg.f64 eps) x)) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* -10 (/ (pow x 2) eps)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(* 5 (/ x eps)) |
(*.f64 #s(literal 5 binary64) (/.f64 x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 5 binary64) (*.f64 eps x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (/.f64 x (*.f64 eps eps)))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* 5 (/ x eps)) |
(*.f64 #s(literal 5 binary64) (/.f64 x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* 5 (/ x eps)) |
(*.f64 #s(literal 5 binary64) (/.f64 x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps)) |
| 5 456× | lower-*.f32 |
| 5 434× | lower-*.f64 |
| 4 102× | lower-/.f32 |
| 4 094× | lower-/.f64 |
| 3 012× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 252 |
| 0 | 63 | 240 |
| 1 | 236 | 238 |
| 2 | 1756 | 238 |
| 0 | 8582 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) |
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 x eps) |
(*.f64 x (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) |
(/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 5 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 x eps)) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64))) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (pow.f64 eps #s(literal 15 binary64)) (pow.f64 eps #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 eps))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64)))) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps)) |
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(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (neg.f64 eps)) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64))))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64)))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal -10 binary64)))) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) eps) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) eps)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) (*.f64 eps (neg.f64 eps))) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 (neg.f64 eps) (*.f64 eps (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 5 binary64))) (neg.f64 eps)) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64))))) (*.f64 eps #s(literal 1 binary64))) (*.f64 eps (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 eps #s(literal 1 binary64))) (*.f64 eps (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64)))) (*.f64 eps (*.f64 eps eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) eps) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 eps eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) (*.f64 eps (neg.f64 eps))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) (neg.f64 eps)) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps (neg.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64))))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal -10 binary64)))) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) eps) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (*.f64 eps (neg.f64 eps))) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 (neg.f64 eps) (*.f64 eps (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (neg.f64 x)) (neg.f64 eps)) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64))))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (*.f64 eps (/.f64 eps (*.f64 (*.f64 x x) #s(literal -10 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (/.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal -10 binary64)))) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) eps) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps))) (*.f64 (neg.f64 eps) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (*.f64 eps (neg.f64 eps))) (*.f64 (neg.f64 eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 (neg.f64 eps) (*.f64 eps (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 5 binary64)) (neg.f64 eps)) (*.f64 (neg.f64 eps) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (*.f64 eps eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) #s(literal 1 binary64))) (neg.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal 1 binary64))) (neg.f64 (neg.f64 eps))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) (neg.f64 (*.f64 eps eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1000 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps))))) (neg.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
(pow.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps)) |
(*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps)) eps) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(*.f64 (pow.f64 (/.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (*.f64 (*.f64 x x) #s(literal -10 binary64))) (*.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)))) |
Compiled 29 004 to 2 370 computations (91.8% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 087 | 13 | 1 100 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 091 | 19 | 1 110 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) | |
| 83.7% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 86.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| 81.7% | (-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) | |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| ▶ | 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
| ▶ | 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| 71.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) | |
| 71.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
Compiled 925 to 395 computations (57.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| cost-diff | 320 | (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) | |
| cost-diff | 704 | (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) eps) | |
| cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) | |
| cost-diff | 640 | (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) | |
| cost-diff | 832 | (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) | |
| cost-diff | 960 | (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
| 33 946× | lower-fma.f32 |
| 33 936× | lower-fma.f64 |
| 4 512× | lower-*.f32 |
| 4 480× | lower-*.f64 |
| 3 088× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 453 |
| 0 | 73 | 395 |
| 1 | 148 | 367 |
| 2 | 390 | 347 |
| 3 | 1018 | 347 |
| 4 | 1910 | 347 |
| 5 | 3540 | 342 |
| 6 | 7454 | 342 |
| 0 | 8280 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
x |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
eps |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
eps |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
x |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps (*.f64 (+.f64 x eps) #s(literal 10 binary64)))) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
eps |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
x |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x eps)))))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x eps))))) |
eps |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.046875 | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.09117128907376808 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.609016689307584 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.16141378162065376 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 0.44215667702110745 | (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 10.39165443012921 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| accuracy | 15.786452493752074 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) | |
| accuracy | 0.0625 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1484375 | (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) | |
| accuracy | 10.39165443012921 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) | |
| accuracy | 0.0625 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 eps (*.f64 eps eps)) eps) | |
| accuracy | 0.0703125 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| accuracy | 8.457857675406272 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) | |
| accuracy | 0.0703125 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| accuracy | 0.09441376953688403 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| accuracy | 0.16141378162065376 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 8.109723203932287 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
| 97.0ms | 191× | 0 | valid |
| 27.0ms | 52× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 346 to 44 computations (87.3% saved)
ival-mult: 36.0ms (51.2% of total)ival-pow: 14.0ms (19.9% of total)ival-add: 8.0ms (11.4% of total)adjust: 5.0ms (7.1% of total)ival-div: 4.0ms (5.7% of total)ival-sub: 3.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (patch (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow eps 4)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10))) |
| 5.0ms | eps | @ | 0 | (* eps (+ (* 5 x) (* eps 10))) |
| 1.0ms | x | @ | -inf | (* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10)))) |
| 1.0ms | eps | @ | 0 | (* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10)))) |
| 1.0ms | eps | @ | 0 | (* eps (* 5 (pow x 4))) |
| 1× | egg-herbie |
| 13 634× | lower-fma.f64 |
| 13 634× | lower-fma.f32 |
| 5 692× | lower-*.f64 |
| 5 692× | lower-*.f32 |
| 3 634× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 6635 |
| 1 | 1338 | 6213 |
| 2 | 4685 | 5430 |
| 3 | 7815 | 5430 |
| 0 | 8303 | 5154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) (pow.f64 eps #s(literal 5 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) x)) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))) (+.f64 eps x)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (fma.f64 x (/.f64 x eps) x)) #s(literal 1 binary64)))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps))) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps) (*.f64 #s(literal 5 binary64) x)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 eps (*.f64 eps x)) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
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(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
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(pow eps 3) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
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(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(* 5 (* eps (pow x 4))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* 5 (* eps (pow x 4))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (fma.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))) x (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (fma.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))) x (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
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(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 8 binary64)) x) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 eps (/.f64 (*.f64 eps #s(literal 8 binary64)) x) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64))) (*.f64 x x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (*.f64 eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) (neg.f64 x)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 (*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))) x (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (/.f64 (*.f64 x #s(literal 8 binary64)) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal -10 binary64))) eps)) eps)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -10 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x (/.f64 (*.f64 x x) eps)))) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
| 7 104× | lower-fma.f32 |
| 7 094× | lower-fma.f64 |
| 4 898× | lower-*.f32 |
| 4 866× | lower-*.f64 |
| 3 328× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 367 |
| 0 | 73 | 312 |
| 1 | 271 | 291 |
| 2 | 2109 | 283 |
| 0 | 8698 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(+.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 x x) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))) x (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64))) (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))))) |
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(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) (-.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(neg.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (neg.f64 (neg.f64 (neg.f64 x)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x))))) |
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps (/.f64 #s(literal 10 binary64) x))) |
(*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 (*.f64 eps eps) (neg.f64 (/.f64 #s(literal -10 binary64) x))) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -10 binary64) (/.f64 (neg.f64 (*.f64 eps eps)) x)) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal -10 binary64)) x)) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 eps #s(literal 10 binary64))) x)) |
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal 10 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 (/.f64 (*.f64 eps #s(literal -10 binary64)) #s(literal -1 binary64)) (/.f64 eps x)) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps)) |
(*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x))) x) |
(-.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) |
(neg.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1000 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps (neg.f64 (*.f64 eps #s(literal -10 binary64)))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(*.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps))) |
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(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) |
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(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps))) eps) |
(+.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(+.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 eps (neg.f64 (*.f64 eps #s(literal -10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x eps) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 #s(literal -10 binary64) (neg.f64 (*.f64 eps eps)) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 10 binary64)) eps (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (neg.f64 eps) (*.f64 eps #s(literal -10 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (neg.f64 (*.f64 eps eps)) #s(literal -10 binary64) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64)))))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64)))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) eps) (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) (neg.f64 (-.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 25 binary64) (*.f64 (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps)) (neg.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) eps) |
Compiled 34 458 to 1 778 computations (94.8% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 057 | 16 | 1 073 |
| Fresh | 5 | 7 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 066 | 26 | 1 092 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) | |
| 83.7% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 86.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| 81.7% | (-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
| ▶ | 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) | |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) | |
| ▶ | 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) | |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) | |
| 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) | |
| ✓ | 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
| ▶ | 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
Compiled 1 173 to 525 computations (55.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) | |
| cost-diff | 0 | #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) | |
| cost-diff | 0 | (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) | |
| cost-diff | 640 | (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) | |
| cost-diff | 832 | (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) | |
| cost-diff | 960 | (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| 28 626× | lower-fma.f32 |
| 28 614× | lower-fma.f64 |
| 3 762× | lower-*.f32 |
| 3 720× | lower-*.f64 |
| 2 798× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 617 |
| 0 | 100 | 529 |
| 1 | 201 | 485 |
| 2 | 488 | 460 |
| 3 | 1193 | 460 |
| 4 | 1985 | 460 |
| 5 | 3787 | 460 |
| 0 | 8106 | 454 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
x |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 x eps) |
eps |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
x |
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
#s(literal 10 binary64) |
(+.f64 eps x) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 x eps)))))) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 x eps))))) |
x |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)))) |
eps |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(literal 10 binary64) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
eps |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 x eps) |
eps |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
x |
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) |
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(*.f64 eps (*.f64 eps (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) |
(*.f64 eps eps) |
eps |
(fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))) |
(fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps))) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(*.f64 #s(literal 10 binary64) (+.f64 x eps)) |
#s(literal 10 binary64) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (*.f64 #s(literal 10 binary64) (+.f64 eps x)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) | |
| accuracy | 0.17578125 | (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) | |
| accuracy | 8.109723203932287 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.10126879884221009 | (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) | |
| accuracy | 0.109375 | (*.f64 eps (*.f64 eps #s(literal 10 binary64))) | |
| accuracy | 10.39165443012921 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) | |
| accuracy | 0.0390625 | (*.f64 x (*.f64 x (*.f64 x x))) | |
| accuracy | 0.07259750976844202 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.078125 | (*.f64 x (*.f64 x x)) | |
| accuracy | 10.609016689307584 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.0703125 | (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) | |
| accuracy | 0.109375 | (*.f64 (*.f64 eps eps) (*.f64 eps eps)) | |
| accuracy | 8.457857675406272 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| accuracy | 0.09441376953688403 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) | |
| accuracy | 0.16141378162065376 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 8.109723203932287 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
| 115.0ms | 200× | 0 | valid |
| 54.0ms | 45× | 1 | valid |
| 9.0ms | 11× | 2 | valid |
Compiled 437 to 51 computations (88.3% saved)
ival-pow: 73.0ms (49% of total)ival-mult: 53.0ms (35.6% of total)ival-add: 12.0ms (8.1% of total)adjust: 5.0ms (3.4% of total)ival-sub: 3.0ms (2% of total)ival-div: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (patch (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (patch (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (patch (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (patch #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) (patch (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 10 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps x)) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) (taylor -inf eps) (#s(alt (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (patch (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 x) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 x) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (+.f64 eps x)) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (* eps eps) (+ (* eps (* eps 5)) (* x (* 10 (+ eps x))))) |
| 0.0ms | eps | @ | 0 | (* (* eps eps) (+ (* eps (* eps 5)) (* x (* 10 (+ eps x))))) |
| 0.0ms | x | @ | 0 | (+ (* (* x eps) 5) (* eps (* eps 10))) |
| 0.0ms | eps | @ | inf | (* (* eps eps) (+ (* eps (* eps 5)) (* x (* 10 (+ eps x))))) |
| 0.0ms | x | @ | 0 | (* (* eps eps) (+ (* eps (* eps 5)) (* x (* 10 (+ eps x))))) |
| 1× | egg-herbie |
| 14 080× | lower-fma.f64 |
| 14 080× | lower-fma.f32 |
| 5 942× | lower-*.f64 |
| 5 942× | lower-*.f32 |
| 3 698× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 7403 |
| 1 | 1379 | 6970 |
| 2 | 4828 | 6299 |
| 0 | 8104 | 5956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 10 (pow eps 2)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(* 5 (pow eps 4)) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 x))) |
(* x (+ (* 10 eps) (* 10 x))) |
(* x (+ (* 10 eps) (* 10 x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(* 10 (pow x 2)) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(* 10 (* eps x)) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* 10 (* eps x)) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(* 10 x) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 10 eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* 10 eps) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 10 x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* 10 x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) (pow.f64 eps #s(literal 5 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x)) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (fma.f64 x (/.f64 x eps) x)) #s(literal 1 binary64)))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps))) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (+.f64 eps x)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x)) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x)) |
(* (pow x 2) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps (fma.f64 eps (/.f64 eps x) eps))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -5 binary64)) x)) x))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 10 binary64))) x)) |
(* (pow eps 2) (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) |
(* (pow eps 2) (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 x (/.f64 x eps) x) #s(literal 5 binary64))) |
(* 5 (pow eps 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal 5 binary64))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 x eps) x) eps) #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 4) |
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(pow eps 4) |
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(pow eps 4) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
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(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (*.f64 eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) x) eps)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -10 binary64))) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) eps)) (neg.f64 eps))) eps)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* 5 (* eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
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(* 5 (* eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* 10 (pow eps 2)) |
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(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) x) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x)) (neg.f64 x))) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 eps x)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(pow eps 5) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (pow eps 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps eps)) |
(* 10 (* eps x)) |
(*.f64 eps (*.f64 x #s(literal 10 binary64))) |
(* x (+ (* 10 eps) (* 10 x))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(* x (+ (* 10 eps) (* 10 x))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(* x (+ (* 10 eps) (* 10 x))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* (pow x 2) (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(+ (* 10 (* eps x)) (* 10 (pow x 2))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) |
(* 10 (* eps x)) |
(*.f64 eps (*.f64 x #s(literal 10 binary64))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* 10 (* eps x)) |
(*.f64 eps (*.f64 x #s(literal 10 binary64))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps))))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (fma.f64 x (/.f64 x eps) x))) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
| 8 238× | lower-fma.f32 |
| 8 226× | lower-fma.f64 |
| 5 430× | lower-*.f32 |
| 5 388× | lower-*.f64 |
| 3 284× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 517 |
| 0 | 100 | 434 |
| 1 | 348 | 388 |
| 2 | 2498 | 388 |
| 0 | 9014 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
(fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)))))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps))))))) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(-.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
(fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps))))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (*.f64 x x) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 x eps))) (fma.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
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(/.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps)) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 eps x))) (-.f64 eps x)) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 10 binary64)) (-.f64 x eps)) |
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 10 binary64)) (-.f64 eps x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))) (neg.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))))) (neg.f64 (-.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) #s(literal 10 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) #s(literal 10 binary64))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 10 binary64))) (neg.f64 (-.f64 eps x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 #s(literal 10 binary64) (+.f64 x eps)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
Compiled 43 901 to 1 977 computations (95.5% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 235 | 5 | 1 240 |
| Fresh | 4 | 14 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 241 | 25 | 1 266 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) | |
| 83.7% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 86.2% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| 81.7% | (-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) | |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) | |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) | |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) | |
| ✓ | 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) | |
| 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) | |
| 84.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| ✓ | 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
| ✓ | 86.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 83.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) | |
| ✓ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
| 83.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) | |
| 37.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
Compiled 1 503 to 440 computations (70.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 19.0ms | x |
| 13.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 12.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 97.8% | 3 | eps |
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
1 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 x (fma.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps)) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 #s(approx (pow (+ x eps) 5) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
2 calls:
| 16.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.0% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* (* eps (* eps eps)) (* eps eps))) (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 34.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 97.9% | 3 | x |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x x))) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.3% | 3 | eps |
| 97.7% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (- (* 5 x) (/ (* (* x x) -10) eps)) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
3 calls:
| 9.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | eps |
| 86.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.7% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
3 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | eps |
| 86.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.7% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | x |
| 86.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.7% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.12e-321 |
| 0.0ms | -1.8365090786920143e-273 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.12e-321 |
| 0.0ms | -1.8365090786920143e-273 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 55.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
| 93.0ms | 245× | 1 | valid |
| 4.0ms | 59× | 0 | valid |
Compiled 1 020 to 534 computations (47.6% saved)
adjust: 66.0ms (74.8% of total)ival-pow: 16.0ms (18.1% of total)ival-add: 3.0ms (3.4% of total)ival-sub: 3.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 1 039 to 553 computations (46.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 925 to 515 computations (44.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 889 to 497 computations (44.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 794 to 459 computations (42.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 699 to 402 computations (42.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 679 to 392 computations (42.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 679 to 392 computations (42.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 603 to 354 computations (41.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 546 to 297 computations (45.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.443823609766782e-45 | 1.1543619212184484e-34 |
| 1.0ms | -7.516514277352766e-35 | -7.076138873420237e-40 |
Compiled 546 to 297 computations (45.6% saved)
| 1× | egg-herbie |
| 96× | *-commutative_binary64 |
| 28× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1483 |
| 1 | 195 | 1483 |
| 2 | 220 | 1483 |
| 3 | 242 | 1483 |
| 4 | 259 | 1483 |
| 5 | 268 | 1483 |
| 6 | 272 | 1483 |
| 7 | 273 | 1483 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -152270531428125/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x (*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 x #s(approx (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps))) (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* x (+ (* x (+ (* eps (* (* eps eps) 10)) (* x (* (* eps eps) 10)))) (* 5 (* (* eps (* eps eps)) eps)))) (* eps (* (* eps (* eps eps)) eps))) (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (fma.f64 #s(literal 5 binary64) x eps) (*.f64 x (*.f64 x #s(literal 10 binary64)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) x) (*.f64 x x)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) eps) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x eps))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x eps)))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) x) (*.f64 x x))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x eps))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x eps)))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8704574672118249/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x eps)))) (if (<=.f64 x #s(literal 8787942429541353/25108406941546723055343157692830665664409421777856138051584 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 13 634× | lower-fma.f64 |
| 13 634× | lower-fma.f32 |
| 12 678× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 252 |
| 0 | 63 | 240 |
| 1 | 236 | 238 |
| 2 | 1756 | 238 |
| 0 | 8582 | 230 |
| 0 | 46 | 367 |
| 0 | 73 | 312 |
| 1 | 271 | 291 |
| 2 | 2109 | 283 |
| 0 | 8698 | 283 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 62 | 517 |
| 0 | 100 | 434 |
| 1 | 348 | 388 |
| 2 | 2498 | 388 |
| 0 | 9014 | 386 |
| 0 | 388 | 6635 |
| 1 | 1338 | 6213 |
| 2 | 4685 | 5430 |
| 3 | 7815 | 5430 |
| 0 | 8303 | 5154 |
| 0 | 383 | 6862 |
| 1 | 1267 | 6363 |
| 2 | 4198 | 5437 |
| 3 | 7836 | 5437 |
| 0 | 8743 | 5105 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 749 to 682 computations (61% saved)
Compiled 1 612 to 212 computations (86.8% saved)
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