
Time bar (total: 11.5s)
| 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)
| 962.0ms | 6 695× | 0 | valid |
| 350.0ms | 1 289× | 1 | valid |
| 99.0ms | 272× | 2 | valid |
ival-pow: 720.0ms (64% of total)ival-<=: 127.0ms (11.3% of total)ival-add: 96.0ms (8.5% of total)ival-sub: 87.0ms (7.7% of total)adjust: 52.0ms (4.6% of total)ival-and: 21.0ms (1.9% of total)exact: 19.0ms (1.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 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 | 36 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 0 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 0 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 418× | 0 | valid |
| 11.0ms | 74× | 1 | valid |
| 6.0ms | 20× | 2 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow: 19.0ms (57.7% of total)ival-add: 8.0ms (24.3% of total)adjust: 3.0ms (9.1% of total)ival-sub: 3.0ms (9.1% 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 |
|---|---|---|
| ▶ | 87.8% | (-.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 | 0.024101269536884032 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.785203142748978 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 25.0ms | 209× | 0 | valid |
| 5.0ms | 37× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 9.0ms (42.7% of total)ival-sub: 8.0ms (38% of total)ival-add: 2.0ms (9.5% of total)adjust: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 0.0ms | eps | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1× | egg-herbie |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 6 916× | lower-*.f64 |
| 6 916× | lower-*.f32 |
| 3 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 4 binary64))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
| 4 520× | lower-*.f64 |
| 4 520× | lower-*.f32 |
| 3 728× | lower-fma.f64 |
| 3 728× | lower-fma.f32 |
| 3 216× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
Compiled 15 609 to 1 219 computations (92.2% saved)
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 |
|---|---|---|
| 40.8% | (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ▶ | 85.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ▶ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 84.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))) |
| ▶ | 84.5% | #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)))) |
| ▶ | 86.9% | #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)))) |
| 84.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| 84.5% | #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)))))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 320 to 190 computations (40.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (/.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)) | |
| cost-diff | 320 | (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))) | |
| cost-diff | 768 | (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.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 | 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 | 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)))) |
| 27 914× | lower-fma.f32 |
| 27 910× | lower-fma.f64 |
| 6 290× | lower-*.f32 |
| 6 268× | lower-*.f64 |
| 2 548× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 338 |
| 0 | 66 | 312 |
| 1 | 129 | 310 |
| 2 | 296 | 292 |
| 3 | 947 | 288 |
| 4 | 3986 | 285 |
| 0 | 8298 | 274 |
| 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 (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))))) |
(*.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.f64 x #s(literal 4 binary64)) |
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))) |
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)) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps eps)) |
#s(literal 10 binary64) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 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 x (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 eps (/.f64 (*.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 (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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)))))) |
(*.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)))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
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))) |
(*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64))) |
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)) |
(*.f64 (/.f64 (*.f64 eps eps) x) (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 10 binary64))) |
(-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) |
(*.f64 eps (*.f64 eps (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -10 binary64)))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) |
(/.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) x) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps eps)) |
#s(literal 10 binary64) |
(neg.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.331120760145773 | (*.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)))) | |
| accuracy | 9.801107304611401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))) | |
| accuracy | 9.942945724961417 | (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) | |
| accuracy | 12.725025696775445 | (/.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)) | |
| accuracy | 0.14195253907376806 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.2894732176122247 | (*.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 | 9.88232041698641 | #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 | 14.764220192022453 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) | |
| accuracy | 0.024101269536884032 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 7.785203142748978 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 8.441162665233469 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.140625 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) | |
| accuracy | 0.4407578885842678 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) | |
| accuracy | 8.38304395805039 | #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)))) |
| 79.0ms | 200× | 0 | valid |
| 22.0ms | 44× | 1 | valid |
| 8.0ms | 12× | 2 | valid |
Compiled 287 to 37 computations (87.1% saved)
ival-mult: 44.0ms (51.3% of total)ival-pow: 17.0ms (19.8% of total)ival-div: 8.0ms (9.3% of total)adjust: 5.0ms (5.8% of total)ival-sub: 5.0ms (5.8% of total)ival-add: 5.0ms (5.8% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% 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 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (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 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (patch (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x) (patch (/.f64 (*.f64 (*.f64 eps (*.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)) (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))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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))))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<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 (* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) (taylor 0 x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) (taylor 0 eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) (taylor inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) (taylor inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) (taylor inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) (taylor -inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) (taylor -inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) (taylor -inf eps) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | 0 | (/ (* (* eps (* eps eps)) 10) x) |
| 2.0ms | eps | @ | -inf | (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x))) |
| 2.0ms | x | @ | 0 | (* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
| 1.0ms | eps | @ | 0 | (* (pow eps 5) (+ (* 5 (/ x eps)) 1)) |
| 1.0ms | x | @ | 0 | (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) |
| 1× | egg-herbie |
| 15 792× | lower-fma.f64 |
| 15 792× | lower-fma.f32 |
| 6 284× | lower-*.f64 |
| 6 284× | lower-*.f32 |
| 3 778× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 7086 |
| 1 | 1361 | 6544 |
| 2 | 4681 | 5648 |
| 0 | 8258 | 5344 |
| 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) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (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 eps 2) (- (* -10 (/ eps x)) 10)) |
(* (pow eps 2) (- (* -10 (/ eps x)) 10)) |
(* (pow eps 2) (- (* -10 (/ eps x)) 10)) |
(* -10 (/ (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps))))) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps))))) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 x)) (* 10 (/ 1 eps))))) |
(* -10 (/ (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow eps 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -10 (/ (pow eps 3) x)) |
(/ (- (* -10 (* (pow eps 2) x)) (* 10 (pow eps 3))) x) |
(/ (- (* -10 (* (pow eps 2) x)) (* 10 (pow eps 3))) x) |
(/ (- (* -10 (* (pow eps 2) x)) (* 10 (pow eps 3))) x) |
(* -10 (pow eps 2)) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(* -10 (pow eps 2)) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* eps (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x)))))) |
(* eps (+ 5 (* eps (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x)))))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (+ (/ 5 (pow eps 2)) (/ 10 (* eps x))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (+ (/ 5 (pow eps 2)) (/ 10 (* eps x))))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ 1 (pow x 2))) (* 10 (/ 1 (* eps x))))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))) eps)) (* 10 (/ 1 (pow x 2)))))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))) eps)) (* 10 (/ 1 (pow x 2)))))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2)) |
(/ (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (pow x 2)) |
(/ (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (pow x 2)) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))) |
(+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)) |
(+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 10 (/ eps (pow x 2))) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* (pow eps 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow x 2))))) |
(* 10 (/ (pow eps 3) (pow x 2))) |
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2)) |
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2)) |
(/ (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (pow x 2)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x) |
(* 10 (/ (pow eps 2) x)) |
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) |
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) |
(* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) 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)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(* 10 (/ (pow eps 3) x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 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) (+ (* 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 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
| 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 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 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))) (*.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 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 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.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 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) 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 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)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
(* (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))) |
(* 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 (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.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 (*.f64 x x) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps 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 (*.f64 x 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 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (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))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 #s(literal -10 binary64) x) x) 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 #s(literal -10 binary64) x) x) (/.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 #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) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 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)) |
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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)) |
(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)) |
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(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)))))) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (/.f64 eps x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
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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)) |
(fma.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
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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)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* eps (+ 5 (* 10 (/ eps x)))) |
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(* eps (+ 5 (* 10 (/ eps x)))) |
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(* 10 (/ (pow eps 2) x)) |
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(* (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))) |
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(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* 10 (/ (pow eps 2) x)) |
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(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
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(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
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(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 5 binary64) eps) (/.f64 #s(literal 10 binary64) x))) |
(* 10 (/ (pow eps 2) x)) |
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(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
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(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
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(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
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(* 5 eps) |
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(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(* 5 eps) |
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(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #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)) |
(*.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 (*.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 (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))) (*.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 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 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.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 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 6 binary64))) (/.f64 eps (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) 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 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)))) |
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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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(*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps 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)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 10 binary64) x)) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) (*.f64 x x)) (/.f64 #s(literal 10 binary64) x)) #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #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))))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.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 (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.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))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps eps)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps))) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 eps eps)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (neg.f64 eps))) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (neg.f64 eps))) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
| 5 102× | lower-*.f32 |
| 5 080× | lower-*.f64 |
| 4 350× | lower-/.f32 |
| 4 342× | lower-/.f64 |
| 3 760× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 281 |
| 0 | 66 | 257 |
| 1 | 252 | 251 |
| 2 | 1968 | 251 |
| 0 | 8432 | 243 |
| 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 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
(*.f64 (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 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) |
(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))) |
(/.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)) |
(/.f64 x eps) |
(*.f64 x (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(/.f64 (*.f64 (*.f64 eps (*.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)) (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))))) |
(*.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)))) |
| 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)))) |
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
(+.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x eps)))) |
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x eps)))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
(fma.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x 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 (fma.f64 (*.f64 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.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 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x 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))) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x 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))) (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 125 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.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 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (pow.f64 eps #s(literal 10 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (*.f64 #s(literal 5 binary64) (/.f64 x 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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x 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 (fma.f64 #s(literal 25 binary64) (*.f64 (/.f64 x eps) (/.f64 x eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (/.f64 x 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 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x eps))) |
(+.f64 (*.f64 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x 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 #s(literal 5 binary64) (/.f64 x eps))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 5 binary64)) #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 #s(literal 5 binary64) (/.f64 x eps)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 5 binary64) (/.f64 x eps)) #s(literal 1 binary64) #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 x #s(literal 1 binary64)) (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))) (-.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (-.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (*.f64 x x)))) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (-.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (-.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (*.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 25 binary64) (*.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (-.f64 (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x) (*.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x x)) (*.f64 x x)) |
Compiled 40 877 to 3 136 computations (92.3% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 303 | 13 | 1 316 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 308 | 17 | 1 325 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 85.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| ▶ | 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 84.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 86.8% | #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))) |
| ▶ | 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| ▶ | 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) | |
| 84.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) | |
| 71.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) | |
| ▶ | 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
Compiled 657 to 347 computations (47.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) | |
| cost-diff | 1024 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) | |
| cost-diff | 1280 | (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) | |
| cost-diff | 704 | (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #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))) |
| 20 548× | lower-fma.f32 |
| 20 540× | lower-fma.f64 |
| 5 358× | lower-*.f32 |
| 5 322× | lower-*.f64 |
| 2 064× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 486 |
| 0 | 82 | 427 |
| 1 | 180 | 415 |
| 2 | 505 | 401 |
| 3 | 1548 | 401 |
| 4 | 3871 | 385 |
| 0 | 8272 | 380 |
| 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) |
x |
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
eps |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
#s(literal 10 binary64) |
(/.f64 eps x) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
#s(literal 10 binary64) |
(/.f64 eps x) |
| 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
x |
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) |
(*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
eps |
(fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) |
(*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
eps |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
#s(literal 10 binary64) |
(/.f64 eps x) |
x |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x (*.f64 x eps))))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
#s(literal 10 binary64) |
(/.f64 eps x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18359375 | (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) | |
| accuracy | 0.2598444578437827 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) | |
| accuracy | 0.296875 | (*.f64 #s(literal 10 binary64) (/.f64 eps x)) | |
| accuracy | 9.88232041698641 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) | |
| accuracy | 0.18359375 | (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) | |
| accuracy | 0.296875 | (*.f64 #s(literal 10 binary64) (/.f64 eps x)) | |
| accuracy | 3.85531390071502 | (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) | |
| accuracy | 9.88232041698641 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) | |
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1796875 | (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) | |
| accuracy | 9.88232041698641 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) | |
| accuracy | 0.06640625 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 0.14578878162065376 | (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) | |
| accuracy | 8.382362194377292 | #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) | |
| accuracy | 9.801107304611401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) | |
| accuracy | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| accuracy | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0.05078125 | (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) | |
| accuracy | 8.38304395805039 | #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))) |
| 97.0ms | 184× | 0 | valid |
| 40.0ms | 58× | 1 | valid |
| 11.0ms | 14× | 2 | valid |
Compiled 345 to 50 computations (85.5% saved)
ival-mult: 64.0ms (54.8% of total)ival-pow: 23.0ms (19.7% of total)ival-add: 9.0ms (7.7% of total)ival-div: 8.0ms (6.8% of total)adjust: 7.0ms (6% of total)ival-sub: 4.0ms (3.4% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (patch (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (patch (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (patch (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) (patch (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 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>) () ())) ()) |
#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 (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 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 (+ (* -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 #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 (+ (* -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 #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 (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#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 (* 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 #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 (* 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 (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 (* 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 #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 eps 5) (taylor inf eps) (#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 eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#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 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 (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 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 (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 eps 5) (taylor -inf eps) (#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 (* -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 (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 (* -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 (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 (* -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 (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 (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#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 eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 eps 5) (taylor inf eps) (#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 eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#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 eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#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 eps 5) (+ 1 (* 5 (/ x eps)))) (taylor inf eps) (#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 eps 5) (taylor -inf eps) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf eps) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ eps x)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (/.f64 eps x)) (patch (*.f64 #s(literal 10 binary64) (/.f64 eps x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf eps) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) (patch (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | inf | (* (* eps (* eps eps)) 10) |
| 1.0ms | eps | @ | 0 | (* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10)))) |
| 1.0ms | eps | @ | -inf | (* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10)))) |
| 1.0ms | x | @ | -inf | (* (* x (* x x)) (* eps (+ (* 5 x) (* eps 10)))) |
| 1.0ms | eps | @ | 0 | (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) |
| 1× | egg-herbie |
| 15 352× | lower-fma.f64 |
| 15 352× | lower-fma.f32 |
| 5 970× | lower-*.f64 |
| 5 970× | lower-*.f32 |
| 5 372× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 329 | 7757 |
| 1 | 1146 | 7206 |
| 2 | 3896 | 6204 |
| 0 | 8166 | 5904 |
| 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 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 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) (+ (* 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 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (* eps (pow x 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)))) |
(* 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 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 x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (pow eps 3)) |
(* 10 (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 3) |
(* 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)))) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps x)) |
(* 10 (/ eps 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) 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 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 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 eps eps) (/.f64 #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 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) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 eps (*.f64 x x)) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 8 binary64) 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) 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)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 eps (*.f64 (*.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)) (fma.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 eps (*.f64 (*.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 (*.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 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 (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.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)) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (+.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 5 binary64) x) 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 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 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x #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 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (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))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.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 #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) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 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 #s(literal 5 binary64) (*.f64 x (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 #s(literal 5 binary64) (*.f64 x (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))) |
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(* 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))) |
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(* -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) |
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(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 (+ 1 (* 5 (/ x eps)))) |
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eps |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
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(*.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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(* (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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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (+.f64 (fma.f64 #s(literal 8 binary64) (*.f64 x (/.f64 x (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 5 binary64) x) 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))))))))) |
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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 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (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))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 eps x)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
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(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
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(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
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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 4))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.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 (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
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(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 x (*.f64 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x (fma.f64 x (/.f64 x eps) x))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
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(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (*.f64 x (fma.f64 x (/.f64 x eps) x))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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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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(* 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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(* 5 (* eps (pow x 4))) |
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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))) |
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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 3) (+ (* 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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(* 5 (* eps (pow x 4))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 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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(* 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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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -1 binary64)) (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))))) eps)) (* 4 x))) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
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(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
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(* 10 (pow eps 3)) |
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(* 10 (pow eps 3)) |
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(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* 5 (* eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* eps (+ (* 5 x) (* 10 eps))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* (pow eps 2) (+ 10 (* 5 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64)) eps) eps) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(+ (* 5 (* eps x)) (* 10 (pow eps 2))) |
(*.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))) |
(* 5 (* eps x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(* x (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 x (*.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 #s(literal 5 binary64) (*.f64 eps 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)))) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ eps x)) |
(/.f64 (*.f64 eps #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
(* 10 (/ (pow eps 2) x)) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
| 5 202× | lower-*.f32 |
| 5 166× | lower-*.f64 |
| 4 266× | lower-fma.f32 |
| 4 258× | lower-fma.f64 |
| 3 618× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 416 |
| 0 | 82 | 350 |
| 1 | 326 | 340 |
| 2 | 2545 | 340 |
| 0 | 8666 | 328 |
| 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) |
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x x)) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) |
(fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 #s(literal 10 binary64) (/.f64 eps x)) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 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)))) |
(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 (*.f64 eps 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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) |
(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))) 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))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps eps)) (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(/.f64 (fma.f64 (*.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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps (*.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))) (*.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 x #s(literal 5 binary64))) (*.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 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps (*.f64 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))))))) |
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(/.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 x eps)) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps #s(literal 10 binary64))) (neg.f64 (/.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (neg.f64 eps)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 1 binary64)) (/.f64 x eps)) |
(/.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (neg.f64 eps))) x) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 x eps))) |
(/.f64 (neg.f64 (/.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (neg.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal -10 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)) |
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 (*.f64 eps eps) (neg.f64 (/.f64 #s(literal -10 binary64) x))) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 eps (/.f64 eps x))) |
(*.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) eps)) |
(*.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x)) |
(*.f64 (/.f64 eps x) (*.f64 eps #s(literal 10 binary64))) |
(*.f64 (/.f64 (*.f64 eps #s(literal 10 binary64)) x) eps) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x))) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (*.f64 eps #s(literal -10 binary64)) x)) |
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (neg.f64 (*.f64 eps eps)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 (*.f64 eps (/.f64 eps x)) #s(literal 10 binary64)) |
Compiled 29 895 to 1 549 computations (94.8% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 165 | 16 | 1 181 |
| Fresh | 7 | 3 | 10 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 177 | 21 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 85.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 58.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) | |
| ▶ | 86.8% | #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))))) |
| 86.8% | #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))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| 86.8% | #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))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) | |
| ▶ | 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) | |
| 84.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) | |
| 84.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) | |
| 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) | |
| 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) | |
| ▶ | 84.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
| ▶ | 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
Compiled 759 to 397 computations (47.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) | |
| cost-diff | 192 | (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) | |
| 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 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) | |
| cost-diff | 0 | (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) | |
| cost-diff | 0 | #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) 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))))) |
| 18 154× | lower-fma.f32 |
| 18 146× | lower-fma.f64 |
| 4 564× | lower-*.f32 |
| 4 522× | lower-*.f64 |
| 2 294× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 589 |
| 0 | 93 | 552 |
| 1 | 212 | 542 |
| 2 | 588 | 528 |
| 3 | 1568 | 528 |
| 4 | 3722 | 517 |
| 5 | 7774 | 517 |
| 0 | 8040 | 500 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) |
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) |
x |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) |
eps |
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) |
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 x x)) |
eps |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) |
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
x |
(*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
eps |
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(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) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
| Outputs |
|---|
#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)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x)))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x x)) |
x |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) |
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) |
eps |
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64))))))) |
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) |
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64))))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 eps #s(literal 5 binary64)))) |
#s(literal 5 binary64) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x (*.f64 x eps)) |
eps |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x eps)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 5 binary64) |
(*.f64 eps #s(literal 10 binary64)) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))))) |
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
x |
(*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))) |
(*.f64 x (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
eps |
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) x) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps eps) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| accuracy | 0.13671875 | (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) | |
| accuracy | 0.14195253907376806 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 9.801107304611401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) | |
| accuracy | 0.07421875 | (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) | |
| accuracy | 0.1015625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 9.88232041698641 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) | |
| accuracy | 0.0703125 | (*.f64 eps (*.f64 x x)) | |
| accuracy | 0.09050751953688403 | (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) | |
| accuracy | 9.627268043411704 | #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) | |
| accuracy | 9.88232041698641 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) | |
| accuracy | 0.0546875 | (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) | |
| accuracy | 0.12109375 | (*.f64 eps (*.f64 eps #s(literal 10 binary64))) | |
| accuracy | 8.382362194377292 | #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) | |
| accuracy | 9.801107304611401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) | |
| accuracy | 0.0625 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| accuracy | 0.06640625 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 8.38304395805039 | #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))))) |
| 226.0ms | 53× | 1 | valid |
| 203.0ms | 191× | 0 | valid |
| 10.0ms | 12× | 2 | valid |
Compiled 384 to 57 computations (85.2% saved)
ival-mult: 46.0ms (51.8% of total)ival-pow: 13.0ms (14.6% of total)ival-add: 10.0ms (11.3% of total)ival-div: 8.0ms (9% of total)adjust: 6.0ms (6.8% of total)ival-sub: 4.0ms (4.5% of total)exact: 1.0ms (1.1% of total)ival-neg: 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 (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 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)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) (patch (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) (patch (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) (patch (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (patch #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) (patch (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) #<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 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) (patch #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) (patch (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (patch (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) (patch #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) (patch (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (patch (*.f64 eps (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 x x)) (patch (*.f64 eps (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #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 (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 (+ (* 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 (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 (+ (* 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 (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>) () ())) ()) |
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#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 x) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 x) (* 10 eps)) (taylor 0 eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 5 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -5 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (patch (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor 0 eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 2)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 2))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 2))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (patch (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ()) |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (* 5 (* eps (* x x))) |
| 0.0ms | x | @ | 0 | (* (+ (* x 5) eps) (* eps (* eps (* eps eps)))) |
| 0.0ms | eps | @ | inf | (* 5 (* eps (* x x))) |
| 0.0ms | x | @ | inf | (* 5 (* eps (* x x))) |
| 0.0ms | x | @ | -inf | (* (* x (* x x)) (+ (* x 5) (* eps 10))) |
| 1× | egg-herbie |
| 12 602× | lower-fma.f64 |
| 12 602× | lower-fma.f32 |
| 6 102× | lower-*.f64 |
| 6 102× | lower-*.f32 |
| 3 498× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 8719 |
| 1 | 1334 | 8150 |
| 2 | 4556 | 7126 |
| 0 | 8002 | 6743 |
| 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) |
(+ (* 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))) |
(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))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 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) (+ (* 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 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) x)) |
(* 10 (* (pow eps 3) 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)))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 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 eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 5 (pow x 2)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 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) (+ (* 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 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 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) (+ (* 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 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(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) |
(* 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)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(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) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 5 x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(* 5 x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(* 5 x) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(+ (* 5 x) (* 10 eps)) |
(* 10 eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(+ (* 10 (pow eps 3)) (* 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)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
| 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 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))) (*.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 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.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) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) 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 (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(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 x (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps 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 (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(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))) |
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(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 #s(literal 5 binary64) (*.f64 x (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 #s(literal 5 binary64) (*.f64 x (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))) |
(* 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) |
(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)))) |
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))) |
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(* 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)))) |
(fma.f64 eps (/.f64 (*.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 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -1 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)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 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 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))) (*.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 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.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) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))) (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 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (+.f64 (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x)) (*.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) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 eps (*.f64 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 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps (/.f64 (*.f64 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 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* 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 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
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(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
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(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* 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)))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (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 x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 x x) (*.f64 eps (*.f64 x (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 eps (*.f64 x (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 eps (*.f64 x (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) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (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 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (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 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
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(* 5 (* eps (pow x 2))) |
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(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
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(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(* 10 (* (pow eps 2) x)) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64)))) |
(* 10 (* (pow eps 2) x)) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
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(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
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(* 10 (* (pow eps 2) x)) |
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(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
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(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(* 5 (* eps (pow x 2))) |
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(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* 5 (* eps (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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(* 5 (* eps (pow x 2))) |
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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)) |
(fma.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps))) (*.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 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.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) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 eps (*.f64 eps (/.f64 eps (*.f64 x x))) eps) (fma.f64 eps (*.f64 #s(literal 6 binary64) (*.f64 eps (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) x))) (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)))))))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* 10 (* eps (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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(* 5 (* eps (pow x 4))) |
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x (fma.f64 x (/.f64 x eps) x)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x (fma.f64 x (/.f64 x eps) x)))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x (fma.f64 x (/.f64 x eps) x)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) (*.f64 x (fma.f64 x (/.f64 x eps) x)))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (/.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (/.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) eps)))) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* 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))) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* eps (pow x 2)) |
(*.f64 eps (*.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)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(*.f64 x (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64)) (neg.f64 x)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 eps #s(literal 10 binary64)) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #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))) |
(* 10 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(* 5 (* eps (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) (fma.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 10 binary64)))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) (fma.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 10 binary64)))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 x (/.f64 #s(literal 10 binary64) eps) #s(literal 10 binary64))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 10 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
(* 10 (pow eps 3)) |
(*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) (+.f64 eps x))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(* 5 (* eps (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 eps #s(literal 5 binary64)))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (*.f64 (/.f64 eps x) (fma.f64 eps (/.f64 eps x) eps)) (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps (pow x 2))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (/.f64 (*.f64 eps #s(literal 10 binary64)) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (fma.f64 eps (/.f64 eps x) eps)) x) (*.f64 eps #s(literal 5 binary64)))) |
| 5 104× | lower-*.f32 |
| 5 062× | lower-*.f64 |
| 4 560× | lower-fma.f32 |
| 4 552× | lower-fma.f64 |
| 3 840× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 521 |
| 0 | 93 | 481 |
| 1 | 365 | 467 |
| 2 | 2793 | 467 |
| 0 | 8896 | 454 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)))) |
(*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x)) |
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) |
(fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64))))))) |
(*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps #s(literal 10 binary64))) |
(*.f64 eps (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) |
| Outputs |
|---|
#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 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (*.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 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
(+.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(+.f64 (*.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 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.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 (*.f64 eps (*.f64 eps (*.f64 eps 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))))) |
(/.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))) (fma.f64 x #s(literal 5 binary64) (neg.f64 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)))) (fma.f64 x #s(literal 5 binary64) (neg.f64 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 (fma.f64 x #s(literal 5 binary64) (neg.f64 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 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps 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 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (fma.f64 x #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 eps (*.f64 eps eps))) eps) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) (*.f64 eps eps)) eps) |
(+.f64 eps (*.f64 x #s(literal 5 binary64))) |
(+.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))) (/.f64 (*.f64 eps eps) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))) |
(fma.f64 x #s(literal 5 binary64) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
(/.f64 (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 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))) |
(/.f64 (neg.f64 (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 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 x (*.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (neg.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (-.f64 eps (*.f64 x #s(literal 5 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))) (*.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (*.f64 eps eps))) (*.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (neg.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))))) |
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) (neg.f64 eps)))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 (*.f64 eps eps) (*.f64 eps eps)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64)))) x)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64)))) (*.f64 x eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))))) eps) |
(*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 eps (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) x)) |
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))) x) |
(*.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 10 binary64)))) eps) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)) |
(*.f64 (*.f64 x eps) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))))) |
(*.f64 x (*.f64 x #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))))) |
(*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (*.f64 x #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))))) x) |
#s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x)))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x eps))) |
(*.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64)) |
(*.f64 (*.f64 x (*.f64 eps #s(literal 5 binary64))) x) |
(*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) eps) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps))))) |
#s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 x eps)))) |
(+.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 x x) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) (*.f64 x x))) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) eps (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x))) eps)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps)) |
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) eps)) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) eps)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))))) |
(*.f64 eps (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 eps #s(literal 10 binary64)))) eps) |
Compiled 20 312 to 1 340 computations (93.4% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 921 | 10 | 931 |
| Fresh | 8 | 6 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 933 | 19 | 952 |
| Status | Accuracy | Program |
|---|---|---|
| 40.8% | (fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| ✓ | 85.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
| ✓ | 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 58.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) | |
| 86.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) | |
| ✓ | 86.8% | #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))))) |
| 86.8% | #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))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) | |
| 71.9% | #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))))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x x))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))) (*.f64 x x))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) | |
| 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) | |
| 84.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) | |
| 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
Compiled 1 154 to 357 computations (69.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 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)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 15/4 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
| Outputs |
|---|
(-.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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 14.0ms | x |
| 13.0ms | eps |
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.3% | 3 | eps |
| 99.4% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 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)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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))))) |
| Outputs |
|---|
(-.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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
1 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
2 calls:
| 11.0ms | x |
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 49.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -10 binary64)) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps (*.f64 eps eps))) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x 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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 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))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) (*.f64 x (+.f64 x (/.f64 (*.f64 x x) eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 eps eps) #s(literal 100 binary64))) eps) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal -10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 eps (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (+ (* (* (* x (* x (* x x))) 5) eps) (* (* x (* x (* x x))) (* eps (* 10 (/ eps x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps x) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 5 binary64)) eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) 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 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) |
1 calls:
| 45.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 eps x))))) |
| Outputs |
|---|
#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 (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.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))))) |
2 calls:
| 6.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.4% | 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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ eps x)))) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#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 (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 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#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))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 5 binary64))) (*.f64 x 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(approx (+ (* eps 5) (* eps (* 10 (/ 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 (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
3 calls:
| 31.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | eps |
| 84.1% | 1 | x |
| 84.1% | 1 | (-.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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
3 calls:
| 5.0ms | eps |
| 3.0ms | x |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | x |
| 84.1% | 1 | eps |
| 84.1% | 1 | (-.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) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
3 calls:
| 3.0ms | x |
| 3.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 1 | x |
| 84.1% | 1 | eps |
| 84.1% | 1 | (-.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)
Total -0.1b remaining (-0.5%)
Threshold costs -0.1b (-0.5%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal 10 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x (*.f64 eps #s(literal 10 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
3 calls:
| 5.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 1 | x |
| 72.0% | 1 | eps |
| 72.0% | 1 | (-.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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.4e-323 |
| 0.0ms | -6.106878928768402e-250 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.4e-323 |
| 0.0ms | -6.106878928768402e-250 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 130.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
| 124.0ms | 114× | 1 | valid |
| 6.0ms | 110× | 0 | valid |
Compiled 572 to 340 computations (40.6% saved)
ival-pow: 118.0ms (94.9% of total)adjust: 3.0ms (2.4% of total)ival-add: 2.0ms (1.6% of total)ival-sub: 2.0ms (1.6% 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 |
|---|---|---|
| 1.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
Compiled 544 to 326 computations (40.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
Compiled 600 to 340 computations (43.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
Compiled 552 to 308 computations (44.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
Compiled 544 to 308 computations (43.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -1.7317033686650606e-31 | -1.366421226314125e-35 |
Compiled 536 to 300 computations (44% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 178.0ms | -2.2178157111200055e-26 | -5.163023224386148e-27 |
| 173.0ms | 85× | 1 | valid |
| 1.0ms | 11× | 0 | valid |
Compiled 434 to 252 computations (41.9% saved)
ival-pow: 167.0ms (97.7% of total)adjust: 2.0ms (1.2% of total)ival-add: 1.0ms (0.6% of total)ival-sub: 1.0ms (0.6% 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 |
|---|---|---|
| 0.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 1.0ms | -2.2178157111200055e-26 | -5.163023224386148e-27 |
Compiled 434 to 252 computations (41.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.737237411845928e-63 | 7.423402324560327e-62 |
| 9.0ms | -8.607122711672104e-26 | -6.598202484523663e-26 |
| 7.0ms | 45× | 1 | valid |
| 0.0ms | 3× | 0 | valid |
Compiled 329 to 192 computations (41.6% saved)
ival-pow: 4.0ms (68.5% of total)adjust: 1.0ms (17.1% of total)ival-add: 1.0ms (17.1% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.4e-323 |
| 0.0ms | -6.106878928768402e-250 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 6.4e-323 |
| 0.0ms | -6.106878928768402e-250 | -0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 104× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1546 |
| 1 | 232 | 1546 |
| 2 | 251 | 1546 |
| 3 | 263 | 1546 |
| 4 | 270 | 1546 |
| 5 | 272 | 1546 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) (+.f64 eps x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 (*.f64 x x) (*.f64 eps (fma.f64 eps (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 #s(literal 5 binary64) (*.f64 x x))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))))) |
(if (<=.f64 x #s(literal -359338179468511/5444517870735015415413993718908291383296 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 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))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.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))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #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))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #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 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 #s(literal 5 binary64) x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 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 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))))) |
(if (<=.f64 x #s(literal -1309505467048489/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 10 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 10 binary64) (/.f64 eps x))))) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
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(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 x x)) eps))))) |
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(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) eps))))) |
(if (<=.f64 x #s(literal -7247742189522453/1393796574908163946345982392040522594123776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 x #s(literal -359338179468511/5444517870735015415413993718908291383296 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))) (if (<=.f64 x #s(literal 6715941175764339/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 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))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.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))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 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))))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x 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))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #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))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) #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))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -8061134813471455/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x eps) (*.f64 x #s(literal 5 binary64)))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* eps 5) (* eps (* 10 (/ eps x)))) (* x x)) (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.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 eps (*.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x 5) (* eps 10)) (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 eps x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) #s(approx (* eps (+ (* 5 x) (* eps 10))) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 (*.f64 eps (*.f64 eps #s(literal 10 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (+ (* eps 5) (/ (- (* (* eps eps) -10) (/ (* (* eps (* eps eps)) 10) x)) (neg x)))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps #s(literal 10 binary64)))))))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 15 792× | lower-fma.f64 |
| 15 792× | lower-fma.f32 |
| 15 352× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 329 | 7757 |
| 1 | 1146 | 7206 |
| 2 | 3896 | 6204 |
| 0 | 8166 | 5904 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 377 | 8719 |
| 1 | 1334 | 8150 |
| 2 | 4556 | 7126 |
| 0 | 8002 | 6743 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 0 | 398 | 7086 |
| 1 | 1361 | 6544 |
| 2 | 4681 | 5648 |
| 0 | 8258 | 5344 |
| 0 | 40 | 281 |
| 0 | 66 | 257 |
| 1 | 252 | 251 |
| 2 | 1968 | 251 |
| 0 | 8432 | 243 |
| 0 | 65 | 521 |
| 0 | 93 | 481 |
| 1 | 365 | 467 |
| 2 | 2793 | 467 |
| 0 | 8896 | 454 |
| 0 | 56 | 416 |
| 0 | 82 | 350 |
| 1 | 326 | 340 |
| 2 | 2545 | 340 |
| 0 | 8666 | 328 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 732 to 686 computations (60.4% saved)
Compiled 1 666 to 238 computations (85.7% saved)
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