
Time bar (total: 10.6s)
| 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)
| 660.0ms | 6 708× | 0 | valid |
| 249.0ms | 1 263× | 1 | valid |
| 74.0ms | 285× | 2 | valid |
ival-pow: 335.0ms (45% of total)ival-<=: 134.0ms (18% of total)ival-add: 98.0ms (13.2% of total)adjust: 79.0ms (10.6% of total)ival-sub: 55.0ms (7.4% of total)ival-and: 20.0ms (2.7% of total)exact: 19.0ms (2.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 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 | 33 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 0 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 0 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 412× | 0 | valid |
| 13.0ms | 80× | 1 | valid |
| 4.0ms | 20× | 2 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow: 20.0ms (66% of total)adjust: 3.0ms (9.9% of total)ival-add: 3.0ms (9.9% of total)ival-sub: 3.0ms (9.9% 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 |
|---|---|---|
| ▶ | 88.9% | (-.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 | 0.030292529305326048 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.111776150646917 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | 206× | 0 | valid |
| 6.0ms | 40× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (66% of total)adjust: 2.0ms (13.2% of total)ival-add: 2.0ms (13.2% of total)ival-sub: 1.0ms (6.6% 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 (-.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 | |
|---|---|---|---|---|
| 73.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 2.0ms | eps | @ | 0 | (- (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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 9 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 9 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ▶ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 80.0% | #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 (*.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)))) | |
| ▶ | 83.2% | #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)))) |
| ▶ | 88.2% | #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)))) |
| 76.3% | #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)))) | |
| ▶ | 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
| 83.2% | #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)))))) | |
| 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 342 to 204 computations (40.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| cost-diff | 448 | (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)))) | |
| cost-diff | 512 | (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))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| 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)))) |
| 38 584× | lower-fma.f32 |
| 38 576× | lower-fma.f64 |
| 6 142× | lower-*.f32 |
| 6 116× | lower-*.f64 |
| 2 368× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 341 |
| 0 | 69 | 323 |
| 1 | 139 | 319 |
| 2 | 328 | 304 |
| 3 | 785 | 300 |
| 4 | 1945 | 297 |
| 5 | 3965 | 297 |
| 0 | 8287 | 289 |
| 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 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)))))) |
(*.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))))) |
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)))) |
(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))) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 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 #s(literal 10 binary64) (/.f64 eps 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 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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(*.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))))) |
(*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
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)))) |
(*.f64 x (fma.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(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 x (fma.f64 x (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 #s(literal 5 binary64) x) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.12625753162065376 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) | |
| accuracy | 0.2192801143988453 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 10.557300889914973 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) | |
| accuracy | 0.174160009768442 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.23525024051104626 | (*.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 | 10.694901263627019 | #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 | 12.406007288681474 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) | |
| accuracy | 0.030292529305326048 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.0625 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.12109375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 7.111776150646917 | (-.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 | 7.702509033754861 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.14453125 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) | |
| accuracy | 0.5013281750224895 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) | |
| accuracy | 7.528170398433636 | #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)))) |
| 64.0ms | 198× | 0 | valid |
| 34.0ms | 48× | 1 | valid |
| 10.0ms | 10× | 2 | valid |
Compiled 294 to 40 computations (86.4% saved)
ival-mult: 32.0ms (40.6% of total)ival-pow: 20.0ms (25.4% of total)ival-add: 9.0ms (11.4% of total)ival-sub: 7.0ms (8.9% of total)adjust: 5.0ms (6.3% of total)ival-div: 4.0ms (5.1% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (patch (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<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>) () ())) ()) |
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#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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<representation binary64>) () ())) ()) |
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#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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10)) |
| 2.0ms | eps | @ | 0 | (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) |
| 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 |
| 16 006× | lower-fma.f64 |
| 16 006× | lower-fma.f32 |
| 6 388× | lower-*.f64 |
| 6 388× | lower-*.f32 |
| 4 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 6610 |
| 1 | 1540 | 6096 |
| 2 | 5344 | 5340 |
| 0 | 8104 | 5034 |
| 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))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(* 5 (* eps 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)))) |
(* 5 (* eps x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(/ 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)) |
(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 x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)) |
(fma.f64 x (fma.f64 x (*.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))) |
(+ (* 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 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 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 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) (/.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 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 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) 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)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 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 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps 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)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 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 (*.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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.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 (/.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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (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 #s(literal -1 binary64) (/.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)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)))) |
(*.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)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(pow eps 5) |
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(* (pow x 4) (+ eps (* 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)))) |
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(pow eps 5) |
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(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x 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 (+ (* 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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(* 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) |
(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)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)) |
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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)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 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 eps (/.f64 #s(literal 5 binary64) x) #s(literal 1 binary64))) |
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(* (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))))))))) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
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(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)) |
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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)))) (pow x 5)) |
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(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) (+ 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 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
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eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 x (/.f64 eps x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 eps 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))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.f64 x eps)))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (-.f64 #s(literal -1 binary64) (/.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 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
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(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* 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)))) |
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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 eps (*.f64 #s(literal 5 binary64) (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)))) |
(*.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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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps) eps) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
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(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps eps) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) x))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(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) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(* -10 (pow eps 2)) |
(*.f64 eps (*.f64 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)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)) |
(fma.f64 x (fma.f64 x (*.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))) |
(+ (* 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 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 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 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x)) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) x) (/.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 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 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) 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)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 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 (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps 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)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 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 (*.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 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.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 (/.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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (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 #s(literal -1 binary64) (/.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)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| 6 016× | lower-fma.f32 |
| 6 008× | lower-fma.f64 |
| 4 468× | lower-*.f32 |
| 4 442× | lower-*.f64 |
| 3 642× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 263 |
| 0 | 69 | 245 |
| 1 | 266 | 241 |
| 2 | 2026 | 241 |
| 0 | 8361 | 238 |
| 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)))) |
(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))) |
(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)))) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
| 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))) |
(-.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 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 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))))) |
(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)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64))) |
(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 (*.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))) |
(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))) |
(/.f64 #s(literal 1 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)) (-.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))))) (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 #s(literal 1 binary64) (/.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 (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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.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 #s(literal 1 binary64) (/.f64 (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 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 x 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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.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))) |
(/.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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x 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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 15 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 eps (*.f64 eps eps))) (pow.f64 eps #s(literal 15 binary64)))) (+.f64 (pow.f64 eps #s(literal 10 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 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))))) |
(*.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)) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(+.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) (/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal -5 binary64) (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 x #s(literal 5 binary64))) (*.f64 x #s(literal 5 binary64))) eps)) (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 x #s(literal 5 binary64))) (*.f64 x #s(literal 5 binary64))) eps))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x #s(literal 5 binary64)) eps) (*.f64 x #s(literal 5 binary64))) (*.f64 x #s(literal 5 binary64))) eps)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x #s(literal 10 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 eps #s(literal 5 binary64)))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 x (neg.f64 eps))) |
(neg.f64 (/.f64 x (neg.f64 eps))) |
(neg.f64 (/.f64 (neg.f64 x) eps)) |
(/.f64 x eps) |
(/.f64 #s(literal 1 binary64) (/.f64 eps x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) eps) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 eps)) |
(pow.f64 (/.f64 eps x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal 1 binary64) (/.f64 x eps)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(neg.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.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) (/.f64 x (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 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 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x)) |
(*.f64 (*.f64 eps eps) (/.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 (*.f64 eps eps) #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 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 (*.f64 eps eps) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 eps eps)) |
(*.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 (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps #s(literal -10 binary64)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 10 binary64)) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x) |
(*.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x x)) |
Compiled 28 982 to 1 996 computations (93.1% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 979 | 12 | 991 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 984 | 16 | 1 000 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 44.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 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))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) | |
| 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) | |
| ▶ | 88.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
| 76.3% | #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)))) | |
| ▶ | 83.2% | #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 x)) (*.f64 x x))) |
| ▶ | 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) | |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) | |
| ▶ | 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) | |
| 83.2% | #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 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) | |
| ▶ | 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
Compiled 569 to 317 computations (44.3% 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 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | #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 x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 704 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) | |
| cost-diff | 0 | (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #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 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
| 11 606× | lower-fma.f32 |
| 11 600× | lower-fma.f64 |
| 4 118× | lower-*.f32 |
| 4 086× | lower-*.f64 |
| 1 686× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 435 |
| 0 | 83 | 419 |
| 1 | 167 | 406 |
| 2 | 404 | 394 |
| 3 | 918 | 391 |
| 4 | 1859 | 389 |
| 5 | 3317 | 383 |
| 0 | 8087 | 374 |
| 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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) |
eps |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) |
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(*.f64 eps x) |
x |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 x #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#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 x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.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)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
#s(literal 4 binary64) |
(fma.f64 #s(literal 5 binary64) x eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x 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 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps))))) |
(*.f64 eps eps) |
eps |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) |
eps |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) |
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(*.f64 x (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(*.f64 eps x) |
(*.f64 x eps) |
x |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 x #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.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 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x eps))))) |
eps |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.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 | 0.02734375 | (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.09832001953688405 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.868312604277493 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.1640625 | (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 4.01204511473976 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) | |
| accuracy | 10.694901263627019 | #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 x)) (*.f64 x x))) | |
| accuracy | 12.406928988774743 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.06640625 | (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) | |
| accuracy | 10.557300889914973 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) | |
| accuracy | 14.923522380138271 | #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) | |
| accuracy | 0.12109375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.12625753162065376 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) | |
| accuracy | 7.5744520287563795 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) | |
| accuracy | 10.694901263627019 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) | |
| accuracy | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.16558711062239803 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) | |
| accuracy | 7.528170398433636 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
| 68.0ms | 185× | 0 | valid |
| 40.0ms | 58× | 1 | valid |
| 13.0ms | 13× | 2 | valid |
Compiled 298 to 47 computations (84.2% saved)
ival-mult: 44.0ms (48.5% of total)ival-pow: 21.0ms (23.1% of total)ival-add: 13.0ms (14.3% of total)adjust: 6.0ms (6.6% of total)ival-div: 4.0ms (4.4% of total)ival-sub: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (patch (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 4 binary64)) (patch (pow.f64 eps #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x 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 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #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 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (patch (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) #<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 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) (patch (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) (patch #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) (patch (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #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 x)) (*.f64 x x))) (patch #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 x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.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 #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 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (patch (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 5))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 5))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 5))) (taylor -inf eps) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 eps) (* 10 x)) (taylor 0 x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 x) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 x) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* eps (* (* eps x) (+ (* eps 5) (* x 10)))) |
| 1.0ms | eps | @ | 0 | (* eps (* 5 (pow x 4))) |
| 1.0ms | eps | @ | 0 | (* (* eps eps) (* (* x (* x x)) 10)) |
| 0.0ms | x | @ | inf | (* eps (* (* eps x) (+ (* eps 5) (* x 10)))) |
| 0.0ms | eps | @ | inf | (* eps (* 5 (pow x 4))) |
| 1× | egg-herbie |
| 14 846× | lower-fma.f64 |
| 14 846× | lower-fma.f32 |
| 6 064× | lower-*.f64 |
| 6 064× | lower-*.f32 |
| 4 128× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 447 | 7597 |
| 1 | 1575 | 7099 |
| 2 | 5403 | 6191 |
| 0 | 8464 | 5868 |
| 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 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) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ 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))) |
(* 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))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(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))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 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)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 10 (* (pow eps 2) (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)))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 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))) |
(* 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)))) |
(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 x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 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) |
(* 10 (* eps (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)))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* 10 x) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(* 5 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(+ (* 5 eps) (* 10 x)) |
(* 10 x) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(* 10 x) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))) (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 x #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (+.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)) (*.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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) 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 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x))) (/.f64 (*.f64 #s(literal 5 binary64) (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) x) #s(literal -10 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 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) 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 eps (*.f64 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)) (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 (*.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 (*.f64 (*.f64 (*.f64 x x) #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 (*.f64 x (fma.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 (*.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 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 5 binary64) 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))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.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 (/.f64 (*.f64 (*.f64 x x) #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 x (/.f64 #s(literal -5 binary64) 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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)) (neg.f64 (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 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)))) |
(*.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)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #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 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
eps |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* x (+ 5 (/ eps x))) |
(*.f64 x (+.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x)))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (-.f64 #s(literal -5 binary64) (/.f64 eps x)))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(fma.f64 eps (/.f64 (*.f64 #s(literal 5 binary64) x) eps) eps) |
(* eps (+ 1 (* 5 (/ x eps)))) |
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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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(* 10 (* (pow eps 2) (pow x 3))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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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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(* 5 (* eps (pow x 4))) |
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(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 eps (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(* 10 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* 10 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 10 binary64) (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x) x) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* eps (+ 5 (* 10 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64)))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64)))) |
(* -1 (* eps (- (* -10 (/ x eps)) 5))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -5 binary64)))) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(+ (* 5 eps) (* 10 x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(* x (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* x (+ 10 (* 5 (/ eps x)))) |
(*.f64 x (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64)))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64)))) |
(* -1 (* x (- (* -5 (/ eps x)) 10))) |
(neg.f64 (*.f64 x (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -10 binary64)))) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
(/ (pow eps 2) x) |
(/.f64 (*.f64 eps eps) x) |
| 7 866× | lower-fma.f32 |
| 7 860× | lower-fma.f64 |
| 4 802× | lower-*.f32 |
| 4 770× | lower-*.f64 |
| 3 186× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 398 |
| 0 | 83 | 374 |
| 1 | 301 | 363 |
| 2 | 2186 | 363 |
| 0 | 8649 | 357 |
| 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 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(pow.f64 eps #s(literal 4 binary64)) |
(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 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)))) |
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))))) |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))) |
(*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) |
(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 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x 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 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(/.f64 (*.f64 eps eps) x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))) |
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps 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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 x #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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
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(/.f64 (*.f64 (*.f64 x eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) |
(/.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
(/.f64 (*.f64 eps (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 x eps)) (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (*.f64 x eps)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) eps) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) eps) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))) (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))) |
(/.f64 (neg.f64 (*.f64 eps (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))))) (neg.f64 (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 x eps))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (*.f64 x eps))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) eps)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x)))) eps)) (neg.f64 (fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal -10 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 10 binary64)) eps)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x eps))))))) |
(*.f64 x (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) |
(*.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) eps) |
(*.f64 (*.f64 x eps) (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) eps) x) |
(+.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) |
(+.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x #s(literal 10 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))))) |
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) |
(fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (fma.f64 (*.f64 x x) #s(literal 100 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 100 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x eps)) #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (*.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 100 binary64)) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 10 binary64)) (-.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal 5 binary64) (*.f64 #s(literal -10 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps eps))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 eps eps)) x)) |
(/.f64 (*.f64 eps eps) x) |
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (/.f64 x (*.f64 eps eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 eps x)) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 eps x) eps) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 eps) x)) |
(*.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 eps x)) |
Compiled 22 073 to 1 696 computations (92.3% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 919 | 13 | 932 |
| Fresh | 3 | 6 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 925 | 23 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ▶ | 88.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 88.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| 44.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 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))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) | |
| 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) | |
| 76.3% | #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)))) | |
| 88.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| ✓ | 83.2% | #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 x)) (*.f64 x x))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| 88.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) | |
| ▶ | 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
| ▶ | 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) | |
| ✓ | 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) | |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) | |
| ▶ | 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
| 83.2% | #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 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))) |
Compiled 782 to 411 computations (47.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 320 | (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 5 binary64) eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) | |
| 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 #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) | |
| cost-diff | 0 | (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) | |
| cost-diff | 1280 | (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| 16 268× | lower-fma.f32 |
| 16 262× | lower-fma.f64 |
| 4 382× | lower-*.f32 |
| 4 344× | lower-*.f64 |
| 3 978× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 572 |
| 0 | 89 | 542 |
| 1 | 185 | 486 |
| 2 | 384 | 476 |
| 3 | 703 | 470 |
| 4 | 956 | 464 |
| 5 | 1209 | 464 |
| 6 | 1384 | 459 |
| 7 | 1430 | 459 |
| 8 | 1515 | 459 |
| 9 | 1873 | 459 |
| 10 | 3818 | 459 |
| 11 | 4789 | 459 |
| 12 | 5840 | 459 |
| 13 | 5924 | 459 |
| 14 | 5973 | 459 |
| 15 | 6008 | 459 |
| 16 | 7191 | 459 |
| 17 | 7305 | 459 |
| 0 | 8157 | 442 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
x |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) |
eps |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) |
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
#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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
#s(literal 5 binary64) |
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)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) |
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
eps |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.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 (fma.f64 x #s(literal 5 binary64) eps))))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
x |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))))))) |
eps |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))))) |
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))))) |
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps)))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x eps))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 10 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 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 x (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.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)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 (fma.f64 x #s(literal 5 binary64) eps))))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
#s(literal 5 binary64) |
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)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) |
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
eps |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
x |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 4.01204511473976 | (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) | |
| accuracy | 10.694901263627019 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 21.775165931657572 | (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) | |
| accuracy | 0.03515625 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| accuracy | 0.08203125 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 0.16558711062239803 | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) | |
| accuracy | 7.528170398433636 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.05859375 | (*.f64 x (*.f64 x (*.f64 x x))) | |
| accuracy | 0.12109375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 10.868312604277493 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0.2192801143988453 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 10.210934142426646 | #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) | |
| accuracy | 10.557300889914973 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) | |
| accuracy | 14.923522380138271 | #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) | |
| accuracy | 0.05078125 | (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) | |
| accuracy | 0.08203125 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 0.12526707912988658 | (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) | |
| accuracy | 7.528170398433636 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
| 75.0ms | 179× | 0 | valid |
| 64.0ms | 13× | 2 | valid |
| 48.0ms | 64× | 1 | valid |
Compiled 356 to 53 computations (85.1% saved)
ival-div: 62.0ms (38.3% of total)ival-mult: 61.0ms (37.7% of total)ival-pow: 16.0ms (9.9% of total)ival-add: 14.0ms (8.7% of total)adjust: 7.0ms (4.3% of total)ival-sub: 2.0ms (1.2% 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 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) (patch (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps eps))) (patch (*.f64 eps (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) (patch (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) (patch #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (patch (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (patch (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 5 binary64) eps) (patch (fma.f64 x #s(literal 5 binary64) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) (patch (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (patch (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (patch (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (patch (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor -inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor 0 x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps (pow x 2))) (taylor inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps (pow x 2))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) (taylor -inf x) (#s(alt #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 eps))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ 10 (* 5 (/ x eps)))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow eps 2))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) (patch (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ())) ()) |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | 0 | (/ (* eps (+ (* eps 10) (* 5 x))) x) |
| 3.0ms | eps | @ | -inf | (/ (* eps (+ (* eps 10) (* 5 x))) x) |
| 0.0ms | x | @ | -inf | (/ (* eps (+ (* eps 10) (* 5 x))) x) |
| 0.0ms | x | @ | 0 | (/ (* eps (+ (* eps 10) (* 5 x))) x) |
| 0.0ms | x | @ | inf | (/ (* eps (+ (* eps 10) (* 5 x))) x) |
| 1× | egg-herbie |
| 15 356× | lower-fma.f64 |
| 15 356× | lower-fma.f32 |
| 5 806× | lower-*.f64 |
| 5 806× | lower-*.f32 |
| 4 124× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 7186 |
| 1 | 1567 | 6712 |
| 2 | 5411 | 5912 |
| 0 | 8111 | 5589 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) |
(+ (* 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 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(* (pow eps 4) x) |
(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 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))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 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)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(* 10 (* (pow eps 2) (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)))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 3) x)) (* 10 (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) |
(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)) |
(+ (* 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))))) |
(* 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))) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* 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 (* 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 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(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) |
(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 (* eps (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)))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 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 |
|---|
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)))) |
(*.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)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #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 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (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)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 (*.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 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))))) (pow.f64 eps #s(literal 5 binary64))) |
(* (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)))) |
(* (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 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) 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 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (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 #s(literal 5 binary64) eps) (/.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 #s(literal 5 binary64) eps) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) 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)) (-.f64 (*.f64 #s(literal 5 binary64) eps) (/.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 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) x)) 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 (*.f64 x 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps (+.f64 x eps)) x))))) |
(* 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 (*.f64 x (fma.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.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)))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
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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) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(* 5 (* eps (pow x 4))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* 5 (* (pow eps 4) x)) |
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(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
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(* 5 (* (pow eps 4) x)) |
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(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
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(* 5 (* (pow eps 4) x)) |
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(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
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(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
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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) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
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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) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) eps (*.f64 x #s(literal 10 binary64))))) |
(* 10 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* 10 (* eps (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 2) x)) (* 10 eps))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 10 binary64))))) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 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 (*.f64 eps 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 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)) |
(*.f64 (*.f64 eps 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 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)) |
(*.f64 (*.f64 eps 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)) (* 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)))) |
| 8 076× | lower-fma.f32 |
| 8 070× | lower-fma.f64 |
| 4 734× | lower-*.f32 |
| 4 696× | lower-*.f64 |
| 2 934× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 488 |
| 0 | 89 | 452 |
| 1 | 334 | 406 |
| 2 | 2243 | 406 |
| 0 | 8327 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))))) |
#s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))) |
(*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64))))) |
#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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 x #s(literal 5 binary64) eps) |
(/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
| Outputs |
|---|
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) |
(+.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))))) |
(fma.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) |
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 x (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) x)) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) x)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) x (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))) (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.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 eps (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))))) |
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(*.f64 eps (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 3 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) |
#s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 10 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(+.f64 (*.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(+.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))) |
(fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps eps) #s(literal 10 binary64) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 x (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps x) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps x) #s(literal 5 binary64) (*.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 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 10 binary64)) eps (*.f64 eps (*.f64 x #s(literal 5 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 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 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 #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal 100 binary64)))) |
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) x))) |
(/.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 #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal 100 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) x))) |
(/.f64 (neg.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))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x #s(literal 5 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 #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) (neg.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) x)))) |
(/.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 #s(literal 5 binary64)) (-.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps)) (neg.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal -5 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)))) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (*.f64 (*.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
(*.f64 (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
Compiled 19 569 to 1 049 computations (94.6% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 861 | 11 | 872 |
| Fresh | 8 | 6 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 3 | 4 |
| Total | 870 | 25 | 895 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | 88.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
| ✓ | 88.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 88.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| 44.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 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))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) | |
| 83.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) | |
| 76.3% | #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)))) | |
| ✓ | 83.2% | #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 x)) (*.f64 x x))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) | |
| 88.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) | |
| ✓ | 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
| ✓ | 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64))))) | |
| 88.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) | |
| 82.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) | |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) | |
| 83.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) | |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) | |
| ✓ | 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) | |
| 71.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) | |
| 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))))))) |
Compiled 1 175 to 407 computations (65.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#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 (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)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 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))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 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 (*.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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
3 calls:
| 34.0ms | x |
| 12.0ms | eps |
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 98.3% | 3 | eps |
| 99.5% | 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#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 (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)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 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))) (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.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 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#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 (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)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps))))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.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 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#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 (pow.f64 x #s(literal 4 binary64)) (-.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 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.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 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
1 calls:
| 40.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
2 calls:
| 10.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.4% | 3 | x |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#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 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
1 calls:
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (/.f64 (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) x)) (*.f64 x x)) (*.f64 x x))) |
#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 x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))))))) |
| Outputs |
|---|
#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 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| Outputs |
|---|
#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 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 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)))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps))) |
| Outputs |
|---|
#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 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 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)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 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 x x) (*.f64 x x)) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 5 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
3 calls:
| 126.0ms | x |
| 5.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 1 | eps |
| 82.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.9% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 x #s(literal 5 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
3 calls:
| 170.0ms | eps |
| 4.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 1 | eps |
| 82.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 82.9% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 eps #s(literal 5 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps (*.f64 (*.f64 eps x) #s(approx (+ (* eps 5) (* x 10)) (*.f64 x #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 #s(literal 5 binary64) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* x 5) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))))))) |
3 calls:
| 3.0ms | x |
| 3.0ms | eps |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 1 | eps |
| 71.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 71.9% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 eps eps)))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
3 calls:
| 46.0ms | 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 |
|---|---|---|
| 71.8% | 1 | x |
| 71.8% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 71.8% | 1 | eps |
Compiled 17 to 11 computations (35.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 28.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
| 35.0ms | 216× | 1 | valid |
| 3.0ms | 40× | 0 | valid |
Compiled 558 to 340 computations (39.1% saved)
ival-pow: 16.0ms (52.7% of total)adjust: 9.0ms (29.6% of total)ival-add: 3.0ms (9.9% of total)ival-sub: 2.0ms (6.6% 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 |
|---|---|---|
| 14.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
| 10.0ms | 70× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 590 to 356 computations (39.7% saved)
ival-pow: 4.0ms (51.2% of total)adjust: 2.0ms (25.6% of total)ival-add: 1.0ms (12.8% of total)ival-sub: 1.0ms (12.8% 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 | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 558 to 348 computations (37.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 566 to 340 computations (39.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 534 to 324 computations (39.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 726 to 356 computations (51% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 782 to 380 computations (51.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 726 to 364 computations (49.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 25.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 702 to 348 computations (50.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 574 to 332 computations (42.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 542 to 316 computations (41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 510 to 300 computations (41.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.142426504988396e-46 | 3.173524171554958e-43 |
| 1.0ms | -1.3412503829676557e-37 | -2.6415009105475995e-42 |
Compiled 510 to 300 computations (41.2% saved)
| 1× | egg-herbie |
| 84× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 1525 |
| 1 | 207 | 1525 |
| 2 | 211 | 1525 |
| 3 | 213 | 1525 |
| 4 | 214 | 1525 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 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)))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x 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 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 7391915003591355/6427752177035961102167848369364650410088811975131171341205504 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 eps x)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* eps (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4)))) (*.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 eps (fma.f64 #s(literal 5 binary64) (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (- (* eps 5) (/ (* (* eps eps) -10) x)) (*.f64 eps #s(literal 5 binary64))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))))) |
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(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 x (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) x) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) 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 x) (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))) #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 eps #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 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)))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 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)))))) |
(if (<=.f64 x #s(literal -8474087342772019/3138550867693340381917894711603833208051177722232017256448 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 1831909370455249/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#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 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (+ (* eps (* 5 x)) (* (* x x) 10))) (* (* x (* x x)) 10))) (* 5 (pow x 4))) (*.f64 eps #s(approx (* (* eps x) (+ (* eps 5) (* x 10))) (*.f64 eps (*.f64 (*.f64 x 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 eps eps) (*.f64 (*.f64 x (*.f64 x 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 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (*.f64 eps eps)))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 16 006× | lower-fma.f64 |
| 16 006× | lower-fma.f32 |
| 14 846× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 263 |
| 0 | 69 | 245 |
| 1 | 266 | 241 |
| 2 | 2026 | 241 |
| 0 | 8361 | 238 |
| 0 | 62 | 488 |
| 0 | 89 | 452 |
| 1 | 334 | 406 |
| 2 | 2243 | 406 |
| 0 | 8327 | 389 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 447 | 7597 |
| 1 | 1575 | 7099 |
| 2 | 5403 | 6191 |
| 0 | 8464 | 5868 |
| 0 | 58 | 398 |
| 0 | 83 | 374 |
| 1 | 301 | 363 |
| 2 | 2186 | 363 |
| 0 | 8649 | 357 |
| 0 | 445 | 6610 |
| 1 | 1540 | 6096 |
| 2 | 5344 | 5340 |
| 0 | 8104 | 5034 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 380 to 524 computations (62% saved)
Compiled 1 574 to 218 computations (86.1% saved)
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