
Time bar (total: 10.8s)
| 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)
| 1.0s | 6 740× | 0 | valid |
| 377.0ms | 1 224× | 1 | valid |
| 98.0ms | 292× | 2 | valid |
ival-pow: 701.0ms (64.9% of total)ival-<=: 127.0ms (11.8% of total)ival-add: 92.0ms (8.5% of total)adjust: 71.0ms (6.6% of total)ival-sub: 44.0ms (4.1% of total)ival-and: 21.0ms (1.9% of total)exact: 20.0ms (1.9% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 1 | (2.3691977464914207e-13 4.71787375275095e-16) | 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 | 40 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 0 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 0 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 412× | 0 | valid |
| 12.0ms | 82× | 1 | valid |
| 6.0ms | 18× | 2 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow: 19.0ms (61.2% of total)ival-sub: 4.0ms (12.9% of total)adjust: 3.0ms (9.7% of total)ival-add: 3.0ms (9.7% 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 |
|---|---|---|
| ▶ | 86.6% | (-.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 | 0.03419877930532605 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 8.519084593034185 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 21.0ms | 206× | 0 | valid |
| 6.0ms | 41× | 1 | valid |
| 2.0ms | 9× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 9.0ms (61.7% of total)adjust: 2.0ms (13.7% of total)ival-add: 2.0ms (13.7% of total)ival-sub: 1.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | -inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 0.0ms | eps | @ | inf | (- (pow (+ x eps) 5) (pow x 5)) |
| 1× | egg-herbie |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 6 916× | lower-*.f64 |
| 6 916× | lower-*.f32 |
| 3 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow x 5) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(pow x 5) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(pow x 5) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 eps #s(literal 4 binary64))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 eps (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (fma.f64 eps (/.f64 (*.f64 eps eps) (*.f64 x x)) eps) (+.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 8 binary64) x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) x)) x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps (/.f64 #s(literal 2 binary64) (*.f64 x x))) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 eps (*.f64 eps #s(literal 8 binary64))) (*.f64 x x)))))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 (*.f64 eps #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) #s(literal 1 binary64)) (/.f64 eps x)) (fma.f64 eps (*.f64 (/.f64 eps (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 eps (*.f64 eps (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 eps x))))))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) |
(fma.f64 eps (fma.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))) (fma.f64 x (*.f64 (/.f64 x (*.f64 eps eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 eps eps))) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps)) (fma.f64 x (*.f64 x (/.f64 #s(literal 8 binary64) (*.f64 eps eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps))))))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) eps)) eps)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 eps (/.f64 x x) x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 eps (/.f64 x eps) eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 eps (/.f64 x eps) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
| 4 520× | lower-*.f64 |
| 4 520× | lower-*.f32 |
| 3 728× | lower-fma.f64 |
| 3 728× | lower-fma.f32 |
| 3 216× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 eps eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) #s(literal 1 binary64))) (*.f64 (-.f64 x eps) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.f64 x eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (*.f64 eps eps)))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps)))) (neg.f64 (*.f64 (-.f64 x eps) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) (neg.f64 (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (*.f64 eps eps)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(pow.f64 x #s(literal 5 binary64)) |
(pow.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
Compiled 15 609 to 1 219 computations (92.2% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 10 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 10 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.9% | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
| 37.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 81.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) | |
| 83.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 3.9% | (-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) | |
| ▶ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
| ▶ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
Compiled 346 to 204 computations (41% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x 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 | 704 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (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)))) | |
| 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 | (*.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))))) | |
| cost-diff | 0 | #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)))))) | |
| cost-diff | 960 | (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)))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) |
| 6 126× | lower-fma.f32 |
| 6 116× | lower-fma.f64 |
| 3 540× | lower-*.f32 |
| 3 516× | lower-*.f64 |
| 1 786× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 340 |
| 0 | 72 | 309 |
| 1 | 137 | 303 |
| 2 | 279 | 295 |
| 3 | 624 | 290 |
| 4 | 1495 | 290 |
| 5 | 3228 | 290 |
| 6 | 7814 | 290 |
| 0 | 8011 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)))))) |
(*.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 |
(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)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 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) |
#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)) (*.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) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) |
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) |
x |
(*.f64 x x) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(literal 5 binary64) |
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) |
(fma.f64 x (-.f64 x eps) (*.f64 eps eps)) |
(-.f64 x eps) |
#s(literal -5 binary64) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.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))))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
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)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 10 binary64) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x x)))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(literal 4 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) |
#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)) (*.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 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
#s(literal 4 binary64) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (neg.f64 x)))))) |
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) |
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) |
x |
(*.f64 x x) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(literal 5 binary64) |
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) |
(fma.f64 x (-.f64 x eps) (*.f64 eps eps)) |
(-.f64 x eps) |
#s(literal -5 binary64) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (neg.f64 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.15861137698974623 | (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) | |
| accuracy | 0.2211113769897462 | (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) | |
| accuracy | 60.671783478915096 | (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) | |
| accuracy | 0.19849133277819153 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.4031131932906235 | (*.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 | 9.093035252803146 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) | |
| accuracy | 12.881344408422635 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.109375 | (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) | |
| accuracy | 0.24222878330715308 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) | |
| accuracy | 9.531009943824051 | #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)))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 9.5583737323597 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.0625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.08822250976844201 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.15588629138909577 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) | |
| accuracy | 9.093035252803146 | #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)))))) |
| 84.0ms | 203× | 0 | valid |
| 40.0ms | 44× | 1 | valid |
| 12.0ms | 9× | 2 | valid |
Compiled 305 to 44 computations (85.6% saved)
ival-pow: 46.0ms (41% of total)ival-mult: 39.0ms (34.8% of total)adjust: 9.0ms (8% of total)ival-add: 8.0ms (7.1% of total)ival-div: 4.0ms (3.6% of total)ival-sub: 4.0ms (3.6% of total)ival-neg: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt #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)))))) (patch #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)))))) #<representation binary64>) () ()) |
#s(alt (*.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))))) (patch (*.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))))) #<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 (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#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 (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 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) (patch (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (patch (fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (patch (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (patch (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<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 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (patch (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
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120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x)))) |
| 4.0ms | x | @ | 0 | (/ x eps) |
| 4.0ms | eps | @ | 0 | (+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x)))) |
| 4.0ms | x | @ | inf | (+ (* (pow (+ (* x (* x x)) (* eps (* eps eps))) 5) (pow (+ (* x (- x eps)) (* eps eps)) -5)) (neg (* (* x (* x x)) (* x x)))) |
| 3.0ms | eps | @ | 0 | (pow (+ (* x (- x eps)) (* eps eps)) -5) |
| 1× | egg-herbie |
| 11 340× | lower-fma.f64 |
| 11 340× | lower-fma.f32 |
| 8 442× | lower-+.f64 |
| 8 442× | lower-+.f32 |
| 4 010× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1028 | 9144 |
| 1 | 3621 | 8603 |
| 0 | 8405 | 8076 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 (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 (* 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)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 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))))) |
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))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(/ (- (* 5 (* eps x)) (* -10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* -1 (* x (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3)))))) (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(+ (* x (- (* x (- (* x (- (+ (* 4 (pow eps 2)) (pow eps 2)) (+ (* -8 (pow eps 2)) (+ (* -4 (+ (* 2 (pow eps 2)) (pow eps 2))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* 4 (pow eps 8)) (+ (* (pow eps 2) (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6)))) (pow eps 8)))) (pow eps 10))) (+ (* -1 (/ (* (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3))))) (pow eps 10))) (* -1 (/ (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6))) (pow eps 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) (+ (* -4 (pow eps 9)) (* -1 (pow eps 9)))) (pow eps 10))) (+ (* 2 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (pow eps 3)))))) (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))))) (pow eps 5)) |
(* -1 (* (pow x 4) (+ (* -4 eps) (* -1 eps)))) |
(* (pow x 4) (- (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -4 eps) (* -1 eps)))) |
(* (pow x 4) (- (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x)))))))))))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (* eps (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -4 (pow eps 3))))) (+ (* -1 (* (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (+ (* -4 eps) (* -1 eps)))) (+ (* -1 (* (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* (+ (* -4 eps) (* -1 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2)))))))) (pow x 3))) (+ (* 4 (/ (pow eps 3) (pow x 2))) (/ (pow eps 3) (pow x 2)))) (+ (* -8 (/ (pow eps 3) (pow x 2))) (+ (* -4 eps) (+ (* -4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) (pow x 2))) (+ (* -1 eps) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2))) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x)))))))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps))))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps))))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* eps (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 3)))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2))))) x)) (+ (* 4 (pow eps 3)) (+ (/ (* (+ eps (* 4 eps)) (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) x) (+ (/ (* (+ eps (* 4 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))))) x) (pow eps 3)))))) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps))))) |
(* -1 (* eps (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
(* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
(* eps (- (* eps (- (* eps (- (+ (* 4 (pow x 2)) (pow x 2)) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
(* eps (- (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 7)) (+ (* -1 (* x (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))))) (* (pow x 2) (+ (* -4 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -4 (pow x 5))))))) (pow x 10))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (+ (* -4 (* (pow x 3) (+ (* 2 (pow x 2)) (pow x 2)))) (* -4 (pow x 5))) (pow x 4))) (+ (* 2 x) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (+ (* 4 x) (+ (* 8 x) (+ (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (- (+ (* 4 (pow x 2)) (pow x 2)) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (pow x 10)) (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 3)))))))))))) (+ (* 4 (pow x 2)) (pow x 2))) (+ (* -8 (pow x 2)) (+ (* -4 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8)))) (pow x 10))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3))))) (pow x 10))) (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 4))))))))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps)))) |
(* (pow eps 5) (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps))))) |
(* (pow eps 5) (- (+ 1 (+ (* 4 (/ (pow x 3) (pow eps 3))) (/ (pow x 3) (pow eps 3)))) (+ (* -8 (/ (pow x 3) (pow eps 3))) (+ (* -4 (/ x eps)) (+ (* -4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) (pow eps 3))) (+ (* -1 (/ x eps)) (+ (* -1 (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 3))) (+ (* -1 (/ (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) (pow eps 3))) (+ (* -1 (/ (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 3))) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2))))))))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))) eps)) (/ (pow (+ x (* 4 x)) 2) eps)) (* -1 (+ x (* 4 x)))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (pow x 3)) (pow x 3)) (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow (+ x (* 4 x)) 2)))) (+ (* -1 (+ (* 4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))))) (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))) eps)) (+ (* -1 (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow (+ x (* 4 x)) 2))) eps)) (* -1 (+ x (* 4 x)))) eps)) 1))) |
(pow eps 15) |
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (pow eps 12))) (pow eps 15)) |
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (+ (* (pow x 3) (+ (* 4 (pow eps 9)) (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))))) (pow eps 12)))) (pow eps 15)) |
(+ (* (pow x 3) (+ (* 4 (pow eps 12)) (+ (* (pow x 3) (+ (* 4 (pow eps 9)) (+ (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (* (pow x 3) (+ (* 2 (pow eps 6)) (* 8 (pow eps 6))))))) (pow eps 12)))) (pow eps 15)) |
(pow x 15) |
(* (pow x 15) (+ 1 (+ (* 4 (/ (pow eps 3) (pow x 3))) (/ (pow eps 3) (pow x 3))))) |
(* (pow x 15) (+ 1 (+ (* 2 (/ (pow eps 6) (pow x 6))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 6) (pow x 6))) (/ (pow eps 3) (pow x 3))))))) |
(* (pow x 15) (+ 1 (+ (* 2 (/ (pow eps 6) (pow x 6))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 4 (/ (pow eps 9) (pow x 9))) (+ (* 8 (/ (pow eps 6) (pow x 6))) (+ (/ (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (pow x 9)) (/ (pow eps 3) (pow x 3))))))))) |
(pow x 15) |
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* 4 (pow eps 3)) (pow eps 3)) (pow x 3))) 1))) |
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 6)) (* -1 (+ (* 2 (pow eps 6)) (* 4 (pow eps 6))))) (pow x 3))) (+ (* 4 (pow eps 3)) (pow eps 3))) (pow x 3))) 1))) |
(* -1 (* (pow x 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 6)) (+ (* -1 (+ (* 2 (pow eps 6)) (* 4 (pow eps 6)))) (* -1 (/ (+ (* 4 (pow eps 9)) (* (pow eps 3) (+ (* 2 (pow eps 6)) (* 4 (pow eps 6))))) (pow x 3))))) (pow x 3))) (+ (* 4 (pow eps 3)) (pow eps 3))) (pow x 3))) 1))) |
(pow x 15) |
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (pow x 12))) (pow x 15)) |
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (+ (* (pow eps 3) (+ (* 4 (pow x 9)) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6)))))) (pow x 12)))) (pow x 15)) |
(+ (* (pow eps 3) (+ (* 4 (pow x 12)) (+ (* (pow eps 3) (+ (* 4 (pow x 9)) (+ (* (pow eps 3) (+ (* 2 (pow x 6)) (* 8 (pow x 6)))) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6))))))) (pow x 12)))) (pow x 15)) |
(pow eps 15) |
(* (pow eps 15) (+ 1 (+ (* 4 (/ (pow x 3) (pow eps 3))) (/ (pow x 3) (pow eps 3))))) |
(* (pow eps 15) (+ 1 (+ (* 2 (/ (pow x 6) (pow eps 6))) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 6) (pow eps 6))) (/ (pow x 3) (pow eps 3))))))) |
(* (pow eps 15) (+ 1 (+ (* 2 (/ (pow x 6) (pow eps 6))) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 4 (/ (pow x 9) (pow eps 9))) (+ (* 8 (/ (pow x 6) (pow eps 6))) (+ (/ (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6)))) (pow eps 9)) (/ (pow x 3) (pow eps 3))))))))) |
(pow eps 15) |
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* 4 (pow x 3)) (pow x 3)) (pow eps 3))) 1))) |
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow x 6)) (* -1 (+ (* 2 (pow x 6)) (* 4 (pow x 6))))) (pow eps 3))) (+ (* 4 (pow x 3)) (pow x 3))) (pow eps 3))) 1))) |
(* -1 (* (pow eps 15) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow x 6)) (+ (* -1 (+ (* 2 (pow x 6)) (* 4 (pow x 6)))) (* -1 (/ (+ (* 4 (pow x 9)) (* (pow x 3) (+ (* 2 (pow x 6)) (* 4 (pow x 6))))) (pow eps 3))))) (pow eps 3))) (+ (* 4 (pow x 3)) (pow x 3))) (pow eps 3))) 1))) |
(pow eps 3) |
(+ (pow eps 3) (pow x 3)) |
(+ (pow eps 3) (pow x 3)) |
(+ (pow eps 3) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow eps 3) (pow x 3)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow eps 3) (pow x 3))) 1))) |
(pow x 3) |
(+ (pow eps 3) (pow x 3)) |
(+ (pow eps 3) (pow x 3)) |
(+ (pow eps 3) (pow x 3)) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3)))) |
(* (pow eps 3) (+ 1 (/ (pow x 3) (pow eps 3)))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (pow x 3) (pow eps 3))) 1))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 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)) |
(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) |
(/ 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) |
(* -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)) |
(/ 1 (pow eps 10)) |
(+ (* 5 (/ x (pow eps 11))) (/ 1 (pow eps 10))) |
(+ (* x (+ (* -1 (* x (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12))))))) (* 5 (/ 1 (pow eps 11))))) (/ 1 (pow eps 10))) |
(+ (* x (+ (* x (- (* x (- (* 8 (/ 1 (pow eps 13))) (+ (* -4 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 15))) (+ (* -1 (/ (* (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12)))))) (pow eps 10))) (+ (* -1 (/ (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6))) (pow eps 19))) (* 5 (/ (+ (* 4 (pow eps 8)) (+ (* (pow eps 2) (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6)))) (pow eps 8))) (pow eps 21)))))))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12))))))) (* 5 (/ 1 (pow eps 11))))) (/ 1 (pow eps 10))) |
(/ 1 (pow x 10)) |
(/ (+ 1 (* -1 (/ (+ (* -4 eps) (* -1 eps)) x))) (pow x 10)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2)))) (+ (* -4 (/ eps x)) (* -1 (/ eps x)))) (pow x 10)) |
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))) (pow x 3)))) (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) (pow x 2))) (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ (pow eps 2) (pow x 2))))))))) (pow x 10)) |
(/ 1 (pow x 10)) |
(/ (+ 1 (+ (* 4 (/ eps x)) (/ eps x))) (pow x 10)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))) (+ eps (* 4 eps))) x))) (pow x 10)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* 4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) x)) (+ (* 8 (/ (pow eps 3) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ eps (* 4 eps))) x))) (pow x 10)) |
(/ 1 (pow x 10)) |
(+ (* 5 (/ eps (pow x 11))) (/ 1 (pow x 10))) |
(+ (* eps (+ (* -1 (* eps (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10))) |
(+ (* eps (+ (* eps (- (* eps (- (* 8 (/ 1 (pow x 13))) (+ (* -4 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 15))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12)))))) (pow x 10))) (+ (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 19))) (* 5 (/ (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8))) (pow x 21)))))))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10))) |
(/ 1 (pow eps 10)) |
(/ (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps))) (pow eps 10)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps)))) (pow eps 10)) |
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow x 3)) (+ (* -4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))))) (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))))) (pow eps 3)))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2))))))))) (pow eps 10)) |
(/ 1 (pow eps 10)) |
(/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 10)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (+ (* 4 (/ (pow x 2) eps)) (+ (* 8 (/ (pow x 2) eps)) (/ (pow x 2) eps))))) (+ x (* 4 x))) eps))) (pow eps 10)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) eps)) (+ (* 4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (* 8 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps))))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ x (* 4 x))) eps))) (pow eps 10)) |
(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 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 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 5 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))))) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(neg.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -10 binary64) (/.f64 (*.f64 #s(literal -5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 10 binary64) (/.f64 eps 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)) |
(fma.f64 x (*.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)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 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 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(* (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 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 #s(literal 4 binary64) eps (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) x))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 eps (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x))) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 8 binary64)) x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) eps (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps eps) x) (fma.f64 eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (*.f64 x x)) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) x) eps))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(* (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)) (fma.f64 #s(literal 5 binary64) eps (neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 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 #s(literal 5 binary64) eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 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 #s(literal 5 binary64) eps (/.f64 (-.f64 (fma.f64 (*.f64 eps eps) #s(literal -4 binary64) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 4 binary64))) x))) x)) (neg.f64 x)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #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)))) |
(*.f64 eps (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 eps (fma.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x (*.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 (fma.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x)) (fma.f64 eps (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 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 x (*.f64 (*.f64 x x) #s(literal 6 binary64)) (fma.f64 eps (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #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 #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 #s(literal 8 binary64) (*.f64 x x)) (*.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 (/.f64 x eps) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 x eps)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (*.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 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #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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(pow eps 5) |
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(pow eps 5) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* 5 eps) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(pow eps 5) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps))))) |
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(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps))))) |
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(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 4)) (+ (* 8 (pow eps 4)) (+ (* eps (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 3)))) (+ (* (pow eps 2) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ (* 2 (pow eps 2)) (pow eps 2)) 2))))) x)) (+ (* 4 (pow eps 3)) (+ (/ (* (+ eps (* 4 eps)) (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) x) (+ (/ (* (+ eps (* 4 eps)) (- (+ (* 4 (pow eps 3)) (pow eps 3)) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))))) x) (pow eps 3)))))) (+ (* -1 (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (+ (* 4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* 8 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))) x)) (+ (* -1 (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps))))) |
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(* -1 (* eps (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
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(* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* -4 (pow x 9)) (* -1 (pow x 9)))) (pow x 10))) (+ (* 2 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 8 (pow x 3)) (pow x 3)))))) (+ (* -4 (pow x 4)) (* -1 (pow x 4))))) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 15) |
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(pow x 15) |
(pow.f64 x #s(literal 15 binary64)) |
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(pow x 15) |
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(fma.f64 x (-.f64 (/.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 11 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (pow.f64 eps #s(literal 14 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 eps #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 eps #s(literal 12 binary64))))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64)))) |
(+ (* x (+ (* x (- (* x (- (* 8 (/ 1 (pow eps 13))) (+ (* -4 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 15))) (+ (* -1 (/ (* (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12)))))) (pow eps 10))) (+ (* -1 (/ (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6))) (pow eps 19))) (* 5 (/ (+ (* 4 (pow eps 8)) (+ (* (pow eps 2) (+ (* 2 (* (pow eps 4) (+ (* 2 (pow eps 2)) (pow eps 2)))) (* 4 (pow eps 6)))) (pow eps 8))) (pow eps 21)))))))) (+ (* 2 (/ (+ (* 2 (pow eps 2)) (pow eps 2)) (pow eps 14))) (+ (* 5 (/ (+ (* -4 (pow eps 9)) (* -1 (pow eps 9))) (pow eps 21))) (* 9 (/ 1 (pow eps 12))))))) (* 5 (/ 1 (pow eps 11))))) (/ 1 (pow eps 10))) |
(fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 eps #s(literal 13 binary64))) (+.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (pow.f64 eps #s(literal 14 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 eps #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 eps #s(literal 12 binary64))))) (pow.f64 eps #s(literal 10 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 19 binary64))))) (fma.f64 #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 8 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (*.f64 #s(literal 4 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 8 binary64)))) (pow.f64 eps #s(literal 21 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 15 binary64)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) (pow.f64 eps #s(literal 14 binary64))))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 eps #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 eps #s(literal 12 binary64))))) (/.f64 #s(literal 5 binary64) (pow.f64 eps #s(literal 11 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64)))) |
(/ 1 (pow x 10)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (+ (* -4 eps) (* -1 eps)) x))) (pow x 10)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5 binary64) eps) x)) (pow.f64 x #s(literal 10 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) (pow x 2)))) (+ (* -4 (/ eps x)) (* -1 (/ eps x)))) (pow x 10)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (*.f64 x x))) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) (pow.f64 x #s(literal 10 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow eps 3)) (+ (* -4 (* eps (+ (* 2 (pow eps 2)) (pow eps 2)))) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))))))) (pow x 3)))) (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) (pow x 2))) (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ (pow eps 2) (pow x 2))))))))) (pow x 10)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8 binary64) (fma.f64 eps (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (fma.f64 (*.f64 #s(literal 5 binary64) eps) (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 eps (*.f64 #s(literal 3 binary64) (*.f64 eps eps))))))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 eps x) #s(literal -5 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 (/.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 13 binary64))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64))) |
(/ 1 (pow x 10)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))) |
(/ (+ 1 (+ (* 4 (/ eps x)) (/ eps x))) (pow x 10)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 eps x) #s(literal 1 binary64)) (pow.f64 x #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ eps (* 4 eps)) 2) x)) (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 (/ (pow eps 2) x)) (+ (* 8 (/ (pow eps 2) x)) (/ (pow eps 2) x))))) (+ eps (* 4 eps))) x))) (pow x 10)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 13 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps eps)) x)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) x)) (*.f64 eps #s(literal -5 binary64))) x)) (pow.f64 x #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2))))) x)) (+ (* 4 (/ (* eps (+ (* 2 (pow eps 2)) (pow eps 2))) x)) (+ (* 8 (/ (pow eps 3) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))))) (+ (* -1 (pow (+ eps (* 4 eps)) 2)) (+ (* 2 (pow eps 2)) (+ (* 4 (pow eps 2)) (+ (* 8 (pow eps 2)) (pow eps 2)))))) x)) (+ eps (* 4 eps))) x))) (pow x 10)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 eps #s(literal -5 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64))) x) (fma.f64 (*.f64 eps #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 eps eps)) x)) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 eps (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) x)))))) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal 13 binary64))) (*.f64 (*.f64 eps eps) #s(literal 25 binary64)))) (neg.f64 x)) (*.f64 eps #s(literal -5 binary64))) x)) (pow.f64 x #s(literal 10 binary64))) |
(/ 1 (pow x 10)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64))) |
(+ (* 5 (/ eps (pow x 11))) (/ 1 (pow x 10))) |
(fma.f64 #s(literal 5 binary64) (/.f64 eps (pow.f64 x #s(literal 11 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64)))) |
(+ (* eps (+ (* -1 (* eps (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10))) |
(fma.f64 eps (fma.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 14 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 12 binary64))))) (/.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 11 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64)))) |
(+ (* eps (+ (* eps (- (* eps (- (* 8 (/ 1 (pow x 13))) (+ (* -4 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 15))) (+ (* -1 (/ (* (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12)))))) (pow x 10))) (+ (* -1 (/ (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6))) (pow x 19))) (* 5 (/ (+ (* 4 (pow x 8)) (+ (* (pow x 2) (+ (* 2 (* (pow x 4) (+ (* 2 (pow x 2)) (pow x 2)))) (* 4 (pow x 6)))) (pow x 8))) (pow x 21)))))))) (+ (* 2 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow x 14))) (+ (* 5 (/ (+ (* -4 (pow x 9)) (* -1 (pow x 9))) (pow x 21))) (* 9 (/ 1 (pow x 12))))))) (* 5 (/ 1 (pow x 11))))) (/ 1 (pow x 10))) |
(fma.f64 eps (fma.f64 eps (-.f64 (fma.f64 eps (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 13 binary64))) (+.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 14 binary64))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 12 binary64))))) (pow.f64 x #s(literal 10 binary64))) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 19 binary64))))) (fma.f64 #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 21 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 15 binary64)))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 14 binary64))))) (fma.f64 #s(literal 5 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 21 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 12 binary64))))) (/.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 11 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 10 binary64)))) |
(/ 1 (pow eps 10)) |
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (+ (* -4 x) (* -1 x)) eps))) (pow eps 10)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 10 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) (pow eps 2)))) (+ (* -4 (/ x eps)) (* -1 (/ x eps)))) (pow eps 10)) |
(/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 eps #s(literal 10 binary64))) |
(/ (- (+ 1 (* -1 (/ (+ (* -8 (pow x 3)) (+ (* -4 (* x (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -1 (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* -1 (pow (+ (* -4 x) (* -1 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))))) (* -1 (* (+ (* -4 x) (* -1 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))))))) (pow eps 3)))) (+ (* -4 (/ x eps)) (+ (* -1 (/ x eps)) (+ (* -1 (/ (pow (+ (* -4 x) (* -1 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ (pow x 2) (pow eps 2))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ (pow x 2) (pow eps 2))))))))) (pow eps 10)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) (fma.f64 (*.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (neg.f64 x) (*.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) (*.f64 eps (*.f64 eps eps)))) (fma.f64 #s(literal -5 binary64) (/.f64 x eps) (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 13 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))))) (pow.f64 eps #s(literal 10 binary64))) |
(/ 1 (pow eps 10)) |
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 10 binary64))) |
(/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 10)) |
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (+ (* 4 (/ (pow x 2) eps)) (+ (* 8 (/ (pow x 2) eps)) (/ (pow x 2) eps))))) (+ x (* 4 x))) eps))) (pow eps 10)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 13 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) eps)) (/.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) eps)) (*.f64 x #s(literal -5 binary64))) eps)) (pow.f64 eps #s(literal 10 binary64))) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2))))) eps)) (+ (* 4 (/ (* x (+ (* 2 (pow x 2)) (pow x 2))) eps)) (+ (* 8 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps))))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow x 2)))))) eps)) (+ x (* 4 x))) eps))) (pow eps 10)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (fma.f64 (*.f64 x #s(literal -5 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) eps) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x))) eps) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) eps))))) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 13 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) eps)) (*.f64 x #s(literal -5 binary64))) eps)) (pow.f64 eps #s(literal 10 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 5) |
(pow.f64 x #s(literal 5 binary64)) |
| 7 216× | lower-fma.f32 |
| 7 206× | lower-fma.f64 |
| 4 762× | lower-*.f32 |
| 4 738× | lower-*.f64 |
| 3 334× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 271 |
| 0 | 72 | 244 |
| 1 | 278 | 240 |
| 2 | 1985 | 240 |
| 0 | 8822 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 x #s(literal 4 binary64)) |
(fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.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)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #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))) |
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x))) |
(-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) |
(fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 x (*.f64 x x)) |
(/.f64 x eps) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
(fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(fma.f64 (*.f64 x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(+.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(fma.f64 eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(fma.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) eps (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) eps (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))) (-.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))))) |
(/.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))) |
(/.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) eps) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) eps) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 125 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))) (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) eps)) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 100 binary64) (neg.f64 (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) eps)) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 #s(literal -5 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1000 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 5 binary64))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))))) |
(*.f64 eps (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64))) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 eps))) |
(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 3 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 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 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (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))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) |
(fma.f64 #s(literal 5 binary64) (*.f64 (/.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
(fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 5 binary64) (/.f64 x eps)))) |
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(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))))) (exp.f64 (log.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))) (exp.f64 (log.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) |
(*.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps)))) (/.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (-.f64 x eps))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 eps x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 x (neg.f64 eps))) |
(neg.f64 (/.f64 x (neg.f64 eps))) |
(neg.f64 (/.f64 (neg.f64 x) eps)) |
(/.f64 x eps) |
(/.f64 #s(literal 1 binary64) (/.f64 eps x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 eps x)))) |
(/.f64 (neg.f64 x) (neg.f64 eps)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 eps x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) eps) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 eps)) |
(pow.f64 (/.f64 eps x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal 1 binary64) (/.f64 x eps)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) |
(neg.f64 (*.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps)))))) |
(/.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) x) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x))) |
(*.f64 eps (*.f64 (*.f64 eps #s(literal -10 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 eps (/.f64 (*.f64 eps #s(literal -10 binary64)) x)) |
(*.f64 #s(literal 10 binary64) (/.f64 (neg.f64 (*.f64 eps eps)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)))) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 #s(literal -10 binary64) (*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -10 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -10 binary64) x) (*.f64 eps eps)) |
(*.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (*.f64 eps #s(literal -10 binary64)) x)) |
(*.f64 (/.f64 eps #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 eps #s(literal -10 binary64))) x)) |
(*.f64 (/.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) x)) |
(*.f64 eps (*.f64 eps #s(literal -10 binary64))) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps #s(literal -10 binary64)) eps) |
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) #s(literal -5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64) (*.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64)))) |
(pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) #s(literal -5/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -5 binary64)) (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 x eps) (*.f64 (-.f64 x eps) (-.f64 x eps))) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(literal -5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 x (*.f64 x (-.f64 x eps)))))) #s(literal -5 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x (-.f64 x eps)) (*.f64 eps eps))) #s(literal -5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 x eps)) (*.f64 eps eps))) #s(literal -5 binary64))) |
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 5/2 binary64) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))) |
(pow.f64 x #s(literal 5 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 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
Compiled 36 006 to 2 269 computations (93.7% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 12 | 1 059 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 053 | 16 | 1 069 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| 81.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) | |
| 83.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 3.9% | (-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) | |
| ✓ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 38.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64))))) | |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) | |
| ▶ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
| ▶ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| ▶ | 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
| 71.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) | |
| 71.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
Compiled 616 to 322 computations (47.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) | |
| cost-diff | 0 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) | |
| cost-diff | 5184 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 eps eps) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| cost-diff | 320 | (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 704 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) | |
| cost-diff | 0 | (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) | |
| cost-diff | 0 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) | |
| cost-diff | 960 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
| 5 932× | lower-*.f32 |
| 5 898× | lower-*.f64 |
| 5 548× | lower-fma.f32 |
| 5 540× | lower-fma.f64 |
| 2 436× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 441 |
| 0 | 78 | 401 |
| 1 | 152 | 358 |
| 2 | 287 | 351 |
| 3 | 582 | 351 |
| 4 | 1066 | 351 |
| 5 | 1249 | 351 |
| 6 | 1455 | 351 |
| 7 | 1739 | 351 |
| 8 | 3399 | 351 |
| 9 | 3545 | 351 |
| 10 | 3710 | 351 |
| 11 | 4176 | 351 |
| 12 | 7917 | 351 |
| 0 | 8200 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
eps |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 x #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) |
eps |
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 x (*.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 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#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 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
eps |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(literal 5 binary64) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)) |
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps) |
(*.f64 eps (*.f64 x (*.f64 x #s(literal 10 binary64)))) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 x #s(literal 10 binary64)) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) |
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))))))) |
eps |
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 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 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) |
#s(literal 10 binary64) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 x (*.f64 eps (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 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))))))) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps (fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 x (*.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 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(*.f64 eps (*.f64 #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(pow.f64 eps #s(literal 5 binary64)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
eps |
#s(literal 5 binary64) |
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) | |
| accuracy | 0.140625 | (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) | |
| accuracy | 0.24222878330715308 | (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) | |
| accuracy | 9.531009943824051 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) | |
| accuracy | 0.2265625 | (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.4031131932906235 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 9.093035252803146 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| accuracy | 12.834925992201416 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0625 | (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.0625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) | |
| accuracy | 9.093035252803146 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) | |
| accuracy | 0 | (*.f64 eps eps) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| accuracy | 0.078125 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 9.5583737323597 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) | |
| accuracy | 0.0625 | (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) | |
| accuracy | 0.0625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.1171875 | (*.f64 x (*.f64 x #s(literal 10 binary64))) | |
| accuracy | 9.093035252803146 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
| 68.0ms | 186× | 0 | valid |
| 37.0ms | 56× | 1 | valid |
| 10.0ms | 14× | 2 | valid |
Compiled 311 to 47 computations (84.9% saved)
ival-mult: 44.0ms (49.7% of total)ival-pow: 20.0ms (22.6% of total)ival-add: 10.0ms (11.3% of total)ival-div: 6.0ms (6.8% of total)adjust: 6.0ms (6.8% of total)ival-sub: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) (patch (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) (patch (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) (patch #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (patch (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) (patch (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) (patch #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal 10 binary64))) (patch (*.f64 x (*.f64 x #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (patch (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 10 (* eps (pow x 3))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 5 x) (* 10 eps))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps (pow x 3))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps (pow x 3))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) (patch (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) 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 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) 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 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) 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 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) 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 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* (* x (* x x)) (+ (* 10 eps) (* x 5))) |
| 0.0ms | eps | @ | -inf | (/ (+ (* x 5) eps) eps) |
| 0.0ms | x | @ | inf | (* (* x (* x x)) (+ (* 10 eps) (* x 5))) |
| 0.0ms | eps | @ | 0 | (* (* x (* x x)) (+ (* 10 eps) (* x 5))) |
| 0.0ms | x | @ | 0 | (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) |
| 1× | egg-herbie |
| 17 058× | lower-fma.f64 |
| 17 058× | lower-fma.f32 |
| 5 972× | lower-*.f64 |
| 5 972× | lower-*.f32 |
| 4 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 273 | 6680 |
| 1 | 928 | 6244 |
| 2 | 3095 | 5352 |
| 3 | 6597 | 5352 |
| 0 | 8334 | 5000 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 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 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 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 (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 (* 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)))) |
(* 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))))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 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))))) |
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))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(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 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 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))) |
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))) |
| Outputs |
|---|
(* 10 (* eps (pow x 3))) |
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64))) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(* 10 (* eps (pow x 3))) |
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(* 10 (* eps (pow x 3))) |
(*.f64 x (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) x) eps)))) |
(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 x #s(literal 5 binary64) eps)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* 5 (* eps (pow x 4))) |
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(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
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(* 10 (* (pow eps 2) (pow x 3))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* 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)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.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)) |
(* 5 x) |
(*.f64 x #s(literal 5 binary64)) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64))) |
(* eps (+ 10 (* 5 (/ x eps)))) |
(*.f64 eps (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 10 binary64))) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* -1 (* eps (- (* -5 (/ x eps)) 10))) |
(neg.f64 (*.f64 eps (fma.f64 x (/.f64 #s(literal -5 binary64) eps) #s(literal -10 binary64)))) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(+ (* 5 x) (* 10 eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(* 5 x) |
(*.f64 x #s(literal 5 binary64)) |
(* x (+ 5 (* 10 (/ eps x)))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64))) |
(* x (+ 5 (* 10 (/ eps x)))) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 1 binary64))) |
(* 5 x) |
(*.f64 x #s(literal 5 binary64)) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
(* -1 (* x (- (* -10 (/ eps x)) 5))) |
(neg.f64 (*.f64 x (fma.f64 eps (/.f64 #s(literal -10 binary64) x) #s(literal -5 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
| 5 920× | lower-*.f32 |
| 5 886× | lower-*.f64 |
| 5 504× | lower-fma.f32 |
| 5 496× | lower-fma.f64 |
| 4 444× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 367 |
| 0 | 78 | 318 |
| 1 | 290 | 292 |
| 2 | 1766 | 292 |
| 0 | 8430 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
(*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
(*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 eps eps) x) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(*.f64 x (*.f64 x #s(literal 10 binary64))) |
(*.f64 x (*.f64 x x)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))))) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 x eps) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) eps (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 x eps) (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) x) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(fma.f64 (*.f64 #s(literal 5 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 10 binary64) eps))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 5 binary64)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 100 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 5 binary64)))))))) |
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(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (/.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (neg.f64 eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (/.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (neg.f64 eps))) |
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (neg.f64 (*.f64 eps (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 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (neg.f64 (*.f64 eps (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps))) (neg.f64 (neg.f64 eps))) |
(/.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal 1 binary64)) eps) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) eps)) (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (*.f64 eps (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (-.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))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 eps))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))) (neg.f64 eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (neg.f64 eps))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) (neg.f64 eps))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) eps)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (/.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (neg.f64 eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (neg.f64 eps))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (/.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)) (neg.f64 eps))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) eps)) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) (/.f64 eps #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 eps (*.f64 x #s(literal 5 binary64))) (neg.f64 eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 eps (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 eps (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (/.f64 eps #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 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 eps (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 eps (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (/.f64 eps #s(literal 1 binary64)) (-.f64 eps (*.f64 x #s(literal 5 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (neg.f64 eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) (*.f64 (neg.f64 eps) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 x eps)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) (*.f64 (neg.f64 eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))))) (*.f64 (neg.f64 eps) (neg.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)))) (*.f64 (neg.f64 eps) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 25 binary64)))) (*.f64 (neg.f64 eps) (-.f64 eps (*.f64 x #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64))) #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))) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal 1 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 #s(literal 1 binary64) 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 #s(literal 1 binary64) eps))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(pow.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 x #s(literal 5 binary64) eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 5 binary64) eps)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 eps (fma.f64 eps (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 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 (pow.f64 (/.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(*.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
Compiled 32 335 to 1 576 computations (95.1% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 102 | 9 | 1 111 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 111 | 16 | 1 127 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ▶ | 81.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
| 83.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 3.9% | (-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ✓ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
| ▶ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
| ▶ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| ▶ | 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ▶ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
| 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) | |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
Compiled 536 to 280 computations (47.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal 5/2 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 (*.f64 x x) #s(literal 5/2 binary64))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) | |
| cost-diff | 0 | (*.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) | |
| cost-diff | 0 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) | |
| cost-diff | 0 | (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| cost-diff | 448 | (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 512 | (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) |
| 5 596× | lower-fma.f32 |
| 5 588× | lower-fma.f64 |
| 1 932× | distribute-lft-out |
| 1 782× | lower-*.f32 |
| 1 750× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 432 |
| 0 | 77 | 388 |
| 1 | 153 | 362 |
| 2 | 330 | 346 |
| 3 | 694 | 346 |
| 4 | 1351 | 346 |
| 5 | 2449 | 343 |
| 6 | 3592 | 343 |
| 7 | 3970 | 343 |
| 8 | 4147 | 343 |
| 9 | 4177 | 343 |
| 10 | 4193 | 343 |
| 11 | 4193 | 343 |
| 12 | 4673 | 343 |
| 13 | 5105 | 343 |
| 14 | 5105 | 343 |
| 15 | 5171 | 343 |
| 16 | 5236 | 343 |
| 0 | 5236 | 333 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
eps |
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) |
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) |
x |
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(*.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(*.f64 x x) |
#s(literal 5/2 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x eps) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
(*.f64 (*.f64 x eps) (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
eps |
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64)))) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))))))) |
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 x (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 eps eps)))) |
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) |
x |
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64))) |
#s(literal 10 binary64) |
(*.f64 eps #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64))))) |
(*.f64 x #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
eps |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
x |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
#s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(fma.f64 x #s(literal 5 binary64) eps) |
x |
#s(literal 5 binary64) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(*.f64 x x) |
#s(literal 5/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.03419877930532605 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.12794877930532605 | (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) | |
| accuracy | 5.413228074263275 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) | |
| accuracy | 0.078125 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 0.140625 | (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) | |
| accuracy | 0.24222878330715308 | (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) | |
| accuracy | 9.531009943824051 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) | |
| accuracy | 0.0625 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.4031131932906235 | (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 9.093035252803146 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| accuracy | 29.934592353734693 | #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.03515625 | (*.f64 eps (*.f64 eps (*.f64 eps eps))) | |
| accuracy | 0.05078125 | (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) | |
| accuracy | 0.078125 | (*.f64 eps (*.f64 eps eps)) | |
| accuracy | 9.5583737323597 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.15588629138909577 | (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) | |
| accuracy | 0.171875 | (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 8.983789397609891 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
| 110.0ms | 186× | 0 | valid |
| 33.0ms | 57× | 1 | valid |
| 9.0ms | 13× | 2 | valid |
Compiled 334 to 44 computations (86.8% saved)
ival-pow: 42.0ms (40.8% of total)ival-mult: 35.0ms (34% of total)ival-add: 10.0ms (9.7% of total)ival-div: 6.0ms (5.8% of total)adjust: 6.0ms (5.8% of total)ival-sub: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) (patch (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) (patch (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps (*.f64 eps eps))) (patch (*.f64 eps (*.f64 eps (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 eps eps)) (patch (*.f64 eps (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (patch #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 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 (*.f64 x x) #s(literal 5/2 binary64)) (patch (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 10 (pow x 3)) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) (taylor -inf eps) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor 0 x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) (taylor inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) (taylor inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) (taylor -inf x) (#s(alt (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (patch (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) (taylor 0 eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) (taylor 0 eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) (taylor 0 eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 3) x)) (taylor inf eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) (taylor inf eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) (taylor inf eps) (#s(alt (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) (patch (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) (taylor -inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) (taylor -inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) (taylor -inf eps) (#s(alt (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (patch (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) (patch (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 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 (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 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5 (/ x eps))) (taylor -inf eps) (#s(alt (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (patch (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) |
| 1.0ms | x | @ | 0 | (pow (* x x) 5/2) |
| 0.0ms | eps | @ | 0 | (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) |
| 0.0ms | x | @ | -inf | (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) |
| 0.0ms | eps | @ | -inf | (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) |
| 1× | egg-herbie |
| 14 984× | lower-fma.f64 |
| 14 984× | lower-fma.f32 |
| 6 372× | lower-*.f64 |
| 6 372× | lower-*.f32 |
| 4 126× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 505 | 6788 |
| 1 | 1768 | 6259 |
| 2 | 6166 | 6191 |
| 0 | 8102 | 5776 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 3) x)) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(* 5 (* (pow eps 3) x)) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(* (pow eps 4) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 4) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))) eps)) (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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))) |
(* 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) |
(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)))))))))) |
(* 2 (pow x 5)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2))) |
(* -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)) 2))) |
(* 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) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* x (+ (* 5 eps) (* 10 x))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(* 5 (* eps x)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (* eps x)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 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)) |
(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) |
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 x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64))))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64)))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64))))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal 5 binary64)))) |
(* 5 (* (pow eps 2) x)) |
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 5 binary64)))) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64)))) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 5 binary64) (*.f64 x x)) #s(literal 10 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 10 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 #s(literal 10 binary64) eps (/.f64 (*.f64 eps (*.f64 eps #s(literal 5 binary64))) x)) x)))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 x x) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64))))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64))))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (+ (* 5 x) (+ (* 5 (/ (pow x 4) (pow eps 3))) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps))))) |
(* 5 (* (pow eps 3) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (*.f64 eps eps) (*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64))))) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) (*.f64 x #s(literal -5 binary64))) (*.f64 eps (*.f64 eps (neg.f64 eps)))) |
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(* 5 (* (pow eps 4) x)) |
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(* 5 (* eps (pow x 4))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x (/.f64 #s(literal 5 binary64) 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 #s(literal -5 binary64) (/.f64 x eps) #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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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
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(pow eps 4) |
(pow.f64 eps #s(literal 4 binary64)) |
(pow eps 4) |
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(pow eps 4) |
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(pow eps 4) |
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(pow eps 4) |
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(pow eps 4) |
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(pow eps 5) |
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(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -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 #s(literal 5 binary64) (*.f64 eps (pow.f64 x #s(literal 4 binary64)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 6 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)))) |
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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 x (/.f64 #s(literal 5 binary64) 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 x (/.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 x (*.f64 x #s(literal 8 binary64))) (*.f64 eps eps))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) #s(literal 1 binary64)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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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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(* 5 (* (pow eps 4) x)) |
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(* 2 (pow x 5)) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(* (pow eps 5) (+ 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) |
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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)) |
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(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) |
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(pow x 5) |
(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)) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (/.f64 x eps) #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 x #s(literal 5 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x x) #s(literal -6 binary64))) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 x x) #s(literal -6 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 6 binary64)))) eps)) eps)) eps)) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) |
eps |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
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 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.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 (/ 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)) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* 5 (* eps x)) |
(*.f64 x (*.f64 eps #s(literal 5 binary64))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 x x) (fma.f64 eps (/.f64 #s(literal 5 binary64) x) #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(*.f64 x (*.f64 eps #s(literal 5 binary64))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* 5 (* eps x)) |
(*.f64 x (*.f64 eps #s(literal 5 binary64))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 eps (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 x #s(literal 5 binary64)))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(* 5 (/ x eps)) |
(/.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(+ 1 (* 5 (/ x eps))) |
(fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
| 6 192× | lower-fma.f32 |
| 6 184× | lower-fma.f64 |
| 4 454× | lower-*.f32 |
| 4 422× | lower-*.f64 |
| 3 708× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 358 |
| 0 | 77 | 316 |
| 1 | 292 | 282 |
| 2 | 1896 | 282 |
| 0 | 8245 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps) |
(*.f64 eps (*.f64 eps (*.f64 eps eps))) |
(*.f64 eps (*.f64 eps eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) |
(*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64))) |
(*.f64 x (*.f64 x x)) |
(/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(+.f64 (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 #s(literal -10 binary64) (*.f64 x (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 100 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x)))) (/.f64 (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64)))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))))) |
(fma.f64 eps (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(fma.f64 x (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(fma.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x) (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(fma.f64 (*.f64 x (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64)))) eps (*.f64 x (*.f64 x (*.f64 x #s(literal 10 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 10 binary64)) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(fma.f64 (*.f64 x #s(literal 10 binary64)) (*.f64 x x) (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) x (*.f64 (fma.f64 eps #s(literal 5 binary64) (*.f64 x #s(literal 10 binary64))) (*.f64 eps x))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps))) #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))) eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)))) (neg.f64 (neg.f64 (neg.f64 eps)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal 1 binary64))) (neg.f64 eps)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) eps))) (neg.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(pow.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps) (/.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) eps) (fma.f64 x #s(literal 5 binary64) eps)) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 x #s(literal 5 binary64)) eps)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 eps (fma.f64 x #s(literal 5 binary64) eps))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 1 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))) eps))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 5 binary64)) eps) eps))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 5 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (*.f64 (fma.f64 x #s(literal 5 binary64) eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) eps)) (/.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 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(*.f64 (pow.f64 (/.f64 eps (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 125 binary64) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 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 (pow.f64 (/.f64 eps (-.f64 (*.f64 (*.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 5 binary64)) eps))) |
(*.f64 (/.f64 (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))) eps) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) (fma.f64 eps (-.f64 eps (*.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 25 binary64))))) |
(exp.f64 (log.f64 (*.f64 x x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 x x) |
Compiled 32 625 to 1 961 computations (94% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 018 | 8 | 1 026 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 022 | 20 | 1 042 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 81.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
| 83.6% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) | |
| 79.2% | (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) | |
| ✓ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) | |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
| 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) | |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) | |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
| ✓ | 85.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| ✓ | 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x)))) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| 85.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) | |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
Compiled 1 090 to 344 computations (68.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) 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)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 5/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) |
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(-.f64 (pow.f64 (pow.f64 (+.f64 x eps) #s(literal 5/4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) #s(literal -5 binary64))) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
3 calls:
| 13.0ms | eps |
| 11.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 97.1% | 3 | eps |
| 99.2% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 25 binary64)) (/.f64 (*.f64 (*.f64 eps (*.f64 eps #s(literal -10 binary64))) (*.f64 eps (*.f64 eps #s(literal -10 binary64)))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 eps (*.f64 eps (/.f64 #s(literal -10 binary64) x)) (*.f64 eps #s(literal 5 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#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 #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 x (fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) x) (*.f64 eps (*.f64 eps #s(literal 5 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 10 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x (fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 5 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 5 binary64)))) x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.1% | 3 | x |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps eps) x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.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)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
3 calls:
| 4.0ms | 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 |
|---|---|---|
| 85.0% | 1 | eps |
| 85.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.0% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 1 | x |
| 85.0% | 1 | eps |
| 85.0% | 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× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 46.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
| 28.0ms | 41× | 0 | valid |
| 25.0ms | 183× | 1 | valid |
Compiled 560 to 334 computations (40.4% saved)
ival-add: 28.0ms (59.4% of total)ival-pow: 12.0ms (25.5% of total)adjust: 4.0ms (8.5% of total)ival-sub: 2.0ms (4.2% 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 | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 16.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
| 11.0ms | 68× | 1 | valid |
| 2.0ms | 28× | 0 | valid |
Compiled 602 to 334 computations (44.5% saved)
ival-pow: 6.0ms (59.9% of total)adjust: 2.0ms (20% of total)ival-add: 1.0ms (10% of total)ival-sub: 1.0ms (10% 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 |
|---|---|---|
| 28.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
| 6.0ms | 50× | 1 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 490 to 292 computations (40.4% saved)
ival-pow: 2.0ms (41.1% of total)adjust: 1.0ms (20.6% of total)ival-add: 1.0ms (20.6% of total)ival-sub: 1.0ms (20.6% 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 | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 686 to 362 computations (47.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 665 to 348 computations (47.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 644 to 348 computations (46% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 588 to 313 computations (46.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 476 to 271 computations (43.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 455 to 264 computations (42% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 462 to 264 computations (42.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 462 to 264 computations (42.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 0.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 420 to 236 computations (43.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 0.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 420 to 236 computations (43.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 0.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 413 to 236 computations (42.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5630623999432261e-54 | 1.6289194025932258e-52 |
| 1.0ms | -2.7383540265233504e-51 | -9.974988460838978e-53 |
Compiled 406 to 236 computations (41.9% saved)
| 1× | egg-herbie |
| 80× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1678 |
| 1 | 208 | 1678 |
| 2 | 212 | 1678 |
| 3 | 214 | 1678 |
| 4 | 215 | 1678 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal -8222783733480945/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 1811708416032523/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #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 #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 1811708416032523/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 eps #s(approx (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x)))) (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) (+.f64 x eps)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) #s(approx (+ (* 5 (/ x eps)) 1) (/.f64 (fma.f64 x #s(literal 5 binary64) eps) eps)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (pow x 4) (- (* eps 5) (/ (* (* eps eps) -10) x))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 5 binary64) eps) x))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal -8222783733480945/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 5 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 10 binary64))) eps))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* eps (+ (* eps (* x (+ (* x 10) (* eps 5)))) (* 10 (* x (* x x))))) (* (* x (* x x)) (* x 5))) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 10 binary64) (*.f64 eps (+.f64 x eps)))) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 eps eps)))))))))) |
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(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64)))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(approx (+ (* 10 (/ (* eps eps) x)) (* eps 5)) (*.f64 eps #s(literal 5 binary64))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps #s(approx (+ (* (* x (* x (* x x))) 5) (* x (* (* x (* x 10)) eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 5 binary64)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) x)))))) |
(if (<=.f64 x #s(literal -5257189600094375/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))) (if (<=.f64 x #s(literal 8454639274818441/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(literal 5 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x x)))))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 17 058× | lower-fma.f64 |
| 17 058× | lower-fma.f32 |
| 14 984× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1028 | 9144 |
| 1 | 3621 | 8603 |
| 0 | 8405 | 8076 |
| 0 | 505 | 6788 |
| 1 | 1768 | 6259 |
| 2 | 6166 | 6191 |
| 0 | 8102 | 5776 |
| 0 | 51 | 367 |
| 0 | 78 | 318 |
| 1 | 290 | 292 |
| 2 | 1766 | 292 |
| 0 | 8430 | 289 |
| 0 | 273 | 6680 |
| 1 | 928 | 6244 |
| 2 | 3095 | 5352 |
| 3 | 6597 | 5352 |
| 0 | 8334 | 5000 |
| 0 | 42 | 271 |
| 0 | 72 | 244 |
| 1 | 278 | 240 |
| 2 | 1985 | 240 |
| 0 | 8822 | 237 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 49 | 358 |
| 0 | 77 | 316 |
| 1 | 292 | 282 |
| 2 | 1896 | 282 |
| 0 | 8245 | 277 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 |
Compiled 1 737 to 666 computations (61.7% saved)
Compiled 1 746 to 200 computations (88.5% saved)
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