
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25.7% | 74.3% | 0% | 0% | 0% | 0 |
| 100% | 25.7% | 0% | 74.3% | 0% | 0% | 0% | 1 |
Compiled 25 to 19 computations (24% saved)
| 729.0ms | 6 695× | 0 | valid |
| 290.0ms | 1 269× | 1 | valid |
| 75.0ms | 292× | 2 | valid |
ival-pow: 427.0ms (53.4% of total)ival-<=: 128.0ms (16% of total)ival-add: 72.0ms (9% of total)adjust: 70.0ms (8.7% of total)ival-sub: 60.0ms (7.5% of total)ival-and: 21.0ms (2.6% of total)exact: 20.0ms (2.5% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 45 | 1 | (-6.090092166706184e-26 -5.822128807217057e-223) | 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 | 46 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 45 | 0 |
| - | 1 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 45 | 0 | 0 |
| - | 1 | 0 | 210 |
| number | freq |
|---|---|
| 0 | 210 |
| 1 | 46 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 384× | 0 | valid |
| 16.0ms | 98× | 1 | valid |
| 7.0ms | 30× | 2 | valid |
Compiled 61 to 25 computations (59% saved)
ival-pow: 21.0ms (63.7% of total)adjust: 4.0ms (12.1% of total)ival-add: 4.0ms (12.1% of total)ival-sub: 3.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 120× | sub-neg |
| 84× | unsub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 80× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 39 | 49 |
| 2 | 87 | 47 |
| 3 | 163 | 47 |
| 4 | 290 | 47 |
| 5 | 425 | 47 |
| 6 | 514 | 47 |
| 7 | 558 | 47 |
| 8 | 603 | 47 |
| 9 | 618 | 47 |
| 10 | 626 | 47 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 14 | 9 |
| 2 | 19 | 9 |
| 3 | 25 | 9 |
| 4 | 33 | 9 |
| 5 | 48 | 9 |
| 6 | 81 | 9 |
| 7 | 106 | 9 |
| 8 | 149 | 9 |
| 9 | 164 | 9 |
| 10 | 172 | 9 |
| 0 | 172 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 eps x) #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 |
|---|---|---|
| ▶ | 85.2% | (-.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))) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
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 | 0.04062009254663357 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 9.387780700954657 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 13.0ms | 192× | 0 | valid |
| 10.0ms | 49× | 1 | valid |
| 3.0ms | 15× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (62.9% of total)adjust: 2.0ms (12.6% of total)ival-add: 2.0ms (12.6% of total)ival-sub: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (- (pow (+ x eps) 5) (pow x 5)) |
| 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)) |
| 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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #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 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 6 binary64) (*.f64 eps eps)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 eps (*.f64 x x)) (*.f64 #s(literal 6 binary64) (*.f64 eps eps)))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (*.f64 x x) x)))))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (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)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (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)))) (* -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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 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 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* 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 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x))))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (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 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 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 (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 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 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (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 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 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 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps) (fma.f64 (/.f64 #s(literal 4 binary64) x) (fma.f64 (/.f64 eps (*.f64 x x)) (*.f64 eps eps) eps) (fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 eps x) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) (*.f64 eps eps))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #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))))) x)) (* 4 eps))) x)) 1))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 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 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps (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 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (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 (fma.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (/.f64 #s(literal 8 binary64) (*.f64 eps eps)) (*.f64 x x))))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (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 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 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 (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (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 (/.f64 eps x) x x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
(* x (+ 1 (/ eps x))) |
(fma.f64 (/.f64 eps x) x x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(fma.f64 (/.f64 eps x) x x) |
x |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
eps |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* eps (+ 1 (/ x eps))) |
(fma.f64 (/.f64 x eps) eps eps) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) eps eps) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(fma.f64 (/.f64 x eps) 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 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 15 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x 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 (-.f64 (*.f64 (*.f64 eps eps) (-.f64 eps x)) (*.f64 (-.f64 eps x) (*.f64 x x))) (*.f64 (-.f64 eps x) (-.f64 eps x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (-.f64 x eps))) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 (neg.f64 eps) eps))) (*.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)) (-.f64 x eps)) (*.f64 (neg.f64 (-.f64 x eps)) (*.f64 eps eps))) (*.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (*.f64 (neg.f64 eps) eps))) (*.f64 (/.f64 (-.f64 x eps) (*.f64 x x)) (neg.f64 (-.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) (-.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 (*.f64 x x) (neg.f64 (-.f64 x eps))) (*.f64 (-.f64 x eps) (*.f64 (neg.f64 eps) eps))) (*.f64 (-.f64 x 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 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 eps) eps)) (neg.f64 (-.f64 x eps))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (exp.f64 (log.f64 (-.f64 eps x)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (exp.f64 (log.f64 (neg.f64 (-.f64 x eps))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 x (/.f64 x (-.f64 x eps)))) (*.f64 (*.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) (*.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 x (/.f64 x (-.f64 x eps))) (fma.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))) (neg.f64 (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (*.f64 (fma.f64 eps eps (*.f64 x x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (fma.f64 (*.f64 (*.f64 eps eps) eps) (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 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 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
Compiled 15 609 to 1 200 computations (92.3% 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 |
|---|---|---|
| 8.6% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) | |
| 80.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) | |
| ▶ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| ▶ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| 73.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
Compiled 364 to 214 computations (41.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 192 | (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 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 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| cost-diff | 320 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) | |
| cost-diff | 512 | (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
| 22 258× | lower-fma.f32 |
| 22 246× | lower-fma.f64 |
| 5 380× | lower-+.f32 |
| 5 378× | lower-+.f64 |
| 3 302× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 387 |
| 0 | 67 | 387 |
| 1 | 110 | 362 |
| 2 | 215 | 350 |
| 3 | 489 | 350 |
| 4 | 1038 | 346 |
| 5 | 2193 | 346 |
| 6 | 4767 | 346 |
| 7 | 5362 | 346 |
| 8 | 5603 | 346 |
| 9 | 5646 | 346 |
| 10 | 5681 | 346 |
| 11 | 5684 | 346 |
| 12 | 6949 | 346 |
| 0 | 8214 | 337 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(*.f64 x #s(literal 5 binary64)) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 x #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
eps |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 4 binary64)) eps) |
(/.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(*.f64 #s(literal 4 binary64) eps) |
#s(literal 4 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.125 | (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) | |
| accuracy | 8.924639809269564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 12.464438682301465 | (/.f64 (*.f64 eps eps) x) | |
| accuracy | 0.09441376953688402 | (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.13900375976844204 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) | |
| accuracy | 8.924639809269564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.390133187373872 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 10.162699665221497 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 10.300235184755625 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.1328125 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) | |
| accuracy | 0.13900375976844204 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 x #s(literal 5 binary64)) eps) | |
| accuracy | 8.79539782668017 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
| 55.0ms | 187× | 0 | valid |
| 33.0ms | 52× | 1 | valid |
| 20.0ms | 17× | 2 | valid |
Compiled 327 to 41 computations (87.5% saved)
ival-mult: 31.0ms (37.4% of total)ival-pow: 19.0ms (22.9% of total)adjust: 14.0ms (16.9% of total)ival-add: 12.0ms (14.5% of total)ival-div: 4.0ms (4.8% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) #<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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) (patch (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (patch (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (patch (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5 (* (pow eps 2) x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 eps) (* 10 x))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 10 (* 5 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (patch (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor -inf eps) (#s(alt (*.f64 (*.f64 x #s(literal 5 binary64)) eps) (patch (*.f64 (*.f64 x #s(literal 5 binary64)) eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf eps) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor 0 x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow eps 2) x) (taylor -inf x) (#s(alt (/.f64 (*.f64 eps eps) x) (patch (/.f64 (*.f64 eps eps) x) #<representation binary64>) () ())) ()) |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (* (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) eps) |
| 1.0ms | eps | @ | -inf | (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) |
| 1.0ms | eps | @ | 0 | (* (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) eps) |
| 1.0ms | x | @ | 0 | (* (+ (* (/ x eps) 5) 1) (pow eps 5)) |
| 1.0ms | eps | @ | 0 | (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) |
| 1× | egg-herbie |
| 13 260× | lower-fma.f64 |
| 13 260× | lower-fma.f32 |
| 5 150× | lower-*.f64 |
| 5 150× | lower-*.f32 |
| 3 538× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 6920 |
| 1 | 1414 | 6396 |
| 2 | 4777 | 5472 |
| 3 | 7534 | 5472 |
| 0 | 8029 | 5165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))) |
(* 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 (* 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)))) |
(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)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (* 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))) |
(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))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
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))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 10 (pow 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)) |
(* 4 eps) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* eps (+ 4 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 4 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 4 (* eps x)) (* 10 (pow eps 2))) x) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(* 4 eps) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 4 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)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(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 (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 eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
(/ (pow eps 2) x) |
| Outputs |
|---|
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) eps) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) (*.f64 x x)) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 eps (*.f64 x x)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 (*.f64 x x) x)) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 eps (*.f64 x x)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 (*.f64 x x) x)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 eps x) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x)) x) (*.f64 (neg.f64 x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (*.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 eps x) eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x)) x) (*.f64 (neg.f64 x) x)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (fma.f64 x (/.f64 x eps) x)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x (fma.f64 x (/.f64 x eps) x)) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (fma.f64 x (/.f64 x eps) x)) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* -1 (* eps (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 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 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) (/.f64 eps (*.f64 x x)))))) (*.f64 (*.f64 (*.f64 x x) 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 (+.f64 (fma.f64 (*.f64 (/.f64 eps x) eps) #s(literal 2 binary64) eps) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 eps eps) (/.f64 eps (*.f64 x x)) eps) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (*.f64 #s(literal 6 binary64) (*.f64 eps eps)) (/.f64 eps (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) (*.f64 (*.f64 x x) x))))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) 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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) 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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) |
(* 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 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)))))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #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))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x))) eps))) (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 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal 10 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(* 5 (* eps (pow x 4))) |
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(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) 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 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) 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 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) |
(* 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 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)) (*.f64 (/.f64 x eps) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) eps) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) x) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 x eps) (*.f64 (*.f64 #s(literal 8 binary64) x) (/.f64 x (*.f64 eps eps)))))) (pow.f64 eps #s(literal 5 binary64))) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -5 binary64) #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))))) eps)) (* 4 x))) eps)) 1))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x))) eps))) (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 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) x) x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) (neg.f64 eps))) (neg.f64 eps))) eps))) (pow.f64 eps #s(literal 5 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x)) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64)) eps) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
(/ (pow eps 2) x) |
(*.f64 (/.f64 eps x) eps) |
| 6 666× | lower-fma.f32 |
| 6 654× | lower-fma.f64 |
| 4 436× | lower-*.f32 |
| 4 412× | lower-*.f64 |
| 3 932× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 297 |
| 0 | 67 | 281 |
| 1 | 249 | 278 |
| 2 | 1839 | 278 |
| 0 | 8545 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
#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 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) |
(+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 x #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(/.f64 (*.f64 eps eps) x) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 #s(literal -5 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 125 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))) eps (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))))) |
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(/.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 125 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)))) eps (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))))) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps)) |
(fma.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)))) |
(fma.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps) eps)) |
(+.f64 (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps)) (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)))) |
(+.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps)) |
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64)) |
(pow.f64 eps #s(literal 5 binary64)) |
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.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 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 eps x) eps) |
(*.f64 (*.f64 (neg.f64 eps) eps) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) x)) |
(*.f64 eps (/.f64 eps x)) |
(pow.f64 (/.f64 x (*.f64 eps eps)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 eps) eps))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (*.f64 (neg.f64 eps) eps)) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 eps eps)))) |
(/.f64 (*.f64 (neg.f64 eps) eps) (neg.f64 x)) |
(/.f64 (*.f64 eps eps) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 eps eps) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 eps eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps eps))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 eps) eps) x)) |
(neg.f64 (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 eps eps) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 eps eps))) #s(literal -1 binary64))) |
Compiled 31 348 to 1 990 computations (93.7% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 17 | 1 003 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 992 | 21 | 1 013 |
| Status | Accuracy | Program |
|---|---|---|
| 8.6% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) | |
| 80.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) | |
| 77.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) | |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| 39.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64)))) | |
| 73.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) | |
| 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) | |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 85.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) | |
| ▶ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
Compiled 822 to 440 computations (46.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 5504 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 5 binary64)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) | |
| cost-diff | 0 | #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) | |
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) |
| 19 042× | lower-fma.f32 |
| 19 034× | lower-fma.f64 |
| 4 994× | lower-*.f32 |
| 4 954× | lower-*.f64 |
| 2 236× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 679 |
| 0 | 100 | 683 |
| 1 | 188 | 632 |
| 2 | 423 | 580 |
| 3 | 1122 | 576 |
| 4 | 2321 | 576 |
| 5 | 4136 | 570 |
| 6 | 4562 | 570 |
| 7 | 4815 | 570 |
| 8 | 7641 | 570 |
| 9 | 7777 | 570 |
| 10 | 7900 | 570 |
| 0 | 8003 | 558 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
(+.f64 x eps) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 5 binary64)) x) |
(*.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
(*.f64 x x) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) |
(*.f64 (*.f64 x #s(literal 5 binary64)) x) |
(*.f64 x #s(literal 5 binary64)) |
x |
#s(literal 5 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
eps |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
(fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 eps x) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) |
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) |
(*.f64 eps #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) eps) |
eps |
#s(literal 5 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps) |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
(+.f64 x eps) |
(+.f64 eps x) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x)) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) x) |
(*.f64 (*.f64 x #s(literal 5 binary64)) x) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(*.f64 x #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) x) |
x |
#s(literal 5 binary64) |
(*.f64 x x) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) x))) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) x))) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 10 binary64) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 (*.f64 eps x) x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 (*.f64 eps x) x)) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 5 binary64)) x) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(*.f64 x #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) x) |
x |
#s(literal 5 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) (*.f64 eps x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
eps |
(+.f64 x eps) |
(+.f64 eps x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) |
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 eps #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) eps) |
eps |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
x |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 eps #s(literal 5 binary64)) | |
| accuracy | 0.08203125 | (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 8.924639809269564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 28.860271111272464 | #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.11328125 | (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 x #s(literal 5 binary64)) x) | |
| accuracy | 0.1933275511575378 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 8.828541617734482 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.4715351829148444 | (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| accuracy | 8.924639809269564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 x #s(literal 5 binary64)) x) | |
| accuracy | 2.0630964678799018 | #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) | |
| accuracy | 8.924639809269564 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) | |
| accuracy | 0.1015625 | (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) | |
| accuracy | 0.1640625 | (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) | |
| accuracy | 8.79539782668017 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
| 382.0ms | 187× | 0 | valid |
| 70.0ms | 52× | 1 | valid |
| 16.0ms | 17× | 2 | valid |
Compiled 442 to 58 computations (86.9% saved)
ival-mult: 299.0ms (71.9% of total)ival-add: 79.0ms (19% of total)ival-pow: 18.0ms (4.3% of total)adjust: 13.0ms (3.1% of total)ival-div: 4.0ms (1% of total)ival-sub: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) (patch #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) (patch (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) (patch #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) (patch (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (patch #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 5 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (patch #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (patch (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) (patch (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5 (* eps (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) (taylor 0 eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) (taylor inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) (taylor -inf eps) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow eps 3)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 2))) (taylor inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 2))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<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)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<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)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<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)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor inf eps) (#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor -inf eps) (#s(alt (*.f64 eps #s(literal 5 binary64)) (patch (*.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | eps | @ | inf | (* (* (* 10 eps) eps) (+ x eps)) |
| 1.0ms | eps | @ | inf | (* (+ (* (+ (* (* eps 5) (* x x)) (* (* (* 10 eps) eps) (+ x eps))) x) (* (pow eps 4) 5)) x) |
| 0.0ms | eps | @ | 0 | (+ (* (* eps 5) (* x x)) (* (* (* 10 eps) eps) (+ x eps))) |
| 0.0ms | eps | @ | -inf | (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) |
| 0.0ms | eps | @ | -inf | (+ (* (* eps 5) (* x x)) (* (* (* 10 eps) eps) (+ x eps))) |
| 1× | egg-herbie |
| 15 322× | lower-fma.f64 |
| 15 322× | lower-fma.f32 |
| 5 794× | lower-*.f64 |
| 5 794× | lower-*.f32 |
| 3 704× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 8792 |
| 1 | 1488 | 8070 |
| 2 | 5189 | 6741 |
| 0 | 8235 | 6330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(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)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (* 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 (* 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))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 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)) |
(* 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))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* (pow x 3) (+ (* 5 x) (* 10 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 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 (+ (* 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) (* -10 (/ (pow eps 2) x))) x)))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 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) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 3) (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (+ (* 4 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)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (* 4 eps)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(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 |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
(* 10 (/ eps x)) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ eps x)) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(* 10 (/ eps x)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/ (+ (* 5 x) (* 10 eps)) x) |
5 |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
5 |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
(+ 5 (* 10 (/ eps x))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
| Outputs |
|---|
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) |
(* 10 (pow eps 3)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) eps) |
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(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) |
(/ (+ (* 10 (pow eps 2)) (* x (+ eps (* 4 eps)))) x) |
(/.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) |
(+ eps (* 4 eps)) |
(*.f64 eps #s(literal 5 binary64)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (* 4 eps)) |
(*.f64 eps #s(literal 5 binary64)) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(+ eps (+ (* 4 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(* 10 (pow eps 3)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) eps) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* 10 (pow eps 3)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) eps) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) (*.f64 eps eps)) |
(* 10 (pow eps 3)) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) eps) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) (+.f64 x eps)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 eps x) eps eps)) #s(literal 10 binary64)) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
(pow x 3) |
(*.f64 (*.f64 x x) x) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* 10 (/ eps x)) |
(*.f64 (/.f64 eps x) #s(literal 10 binary64)) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* 10 (/ eps x)) |
(*.f64 (/.f64 eps x) #s(literal 10 binary64)) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps)))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* 10 (/ eps x)) |
(*.f64 (/.f64 eps x) #s(literal 10 binary64)) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) |
(/ (+ (* 5 x) (* 10 eps)) x) |
(/.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
5 |
#s(literal 5 binary64) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(+ 5 (* 10 (/ eps x))) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 eps #s(literal 5 binary64)) |
| 10 460× | lower-fma.f32 |
| 10 452× | lower-fma.f64 |
| 5 950× | lower-*.f32 |
| 5 910× | lower-*.f64 |
| 3 576× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 565 |
| 0 | 100 | 520 |
| 1 | 367 | 496 |
| 2 | 2826 | 496 |
| 0 | 10061 | 478 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
(*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps) |
#s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps) |
(*.f64 (*.f64 x #s(literal 5 binary64)) x) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps)) |
(*.f64 (*.f64 x x) x) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 25 binary64)) (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 #s(literal 125 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 25 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)))))) |
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(*.f64 #s(literal 10 binary64) (*.f64 eps (*.f64 (+.f64 x eps) eps))) |
(*.f64 eps (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps))) |
(*.f64 eps (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (+.f64 x eps) (-.f64 x eps)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (-.f64 x eps)) |
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (+.f64 x eps) (-.f64 x eps))) (-.f64 x eps)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps))))) |
(fma.f64 (*.f64 x (*.f64 #s(literal 10 binary64) eps)) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 (*.f64 x eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 eps eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 #s(literal 10 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 eps (*.f64 (*.f64 #s(literal 10 binary64) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(fma.f64 eps (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) #s(literal 25 binary64))) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(/.f64 (-.f64 #s(literal 25 binary64) (/.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x))) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64))) (neg.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) x)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)) (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) #s(literal -25 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64)) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) (*.f64 (*.f64 #s(literal 10 binary64) eps) #s(literal 5 binary64))) x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 1000 binary64) #s(literal 125 binary64)) (fma.f64 (*.f64 (/.f64 eps x) (/.f64 eps x)) #s(literal 100 binary64) (-.f64 #s(literal 25 binary64) (*.f64 (/.f64 eps x) #s(literal 50 binary64))))) |
(fma.f64 (/.f64 (neg.f64 eps) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal -10 binary64) (/.f64 (neg.f64 eps) x) #s(literal 5 binary64)) |
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 1 binary64) x) #s(literal 5 binary64)) |
(fma.f64 #s(literal 10 binary64) (/.f64 eps x) #s(literal 5 binary64)) |
(fma.f64 eps (/.f64 #s(literal 10 binary64) x) #s(literal 5 binary64)) |
(fma.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(-.f64 (/.f64 #s(literal 25 binary64) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x)) (-.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 10 binary64) eps)) (*.f64 x x)) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64))) (/.f64 #s(literal 25 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal -5 binary64)))) |
(+.f64 (*.f64 (/.f64 eps x) #s(literal 10 binary64)) #s(literal 5 binary64)) |
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 eps x) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) x) x) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x (*.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 5 binary64) eps) |
(*.f64 eps #s(literal 5 binary64)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 eps eps) eps))) (fma.f64 eps eps (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps (*.f64 #s(literal 4 binary64) eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 4 binary64) eps) eps))))) |
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps)) |
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 eps eps) eps)) (fma.f64 #s(literal 16 binary64) (*.f64 eps eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 4 binary64) eps) eps)))) |
(fma.f64 #s(literal 4 binary64) eps eps) |
(fma.f64 eps #s(literal 4 binary64) eps) |
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps)) (/.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 4 binary64) eps) eps))) |
(+.f64 (*.f64 #s(literal 4 binary64) eps) eps) |
(+.f64 eps (*.f64 #s(literal 4 binary64) eps)) |
Compiled 26 706 to 1 559 computations (94.2% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 924 | 14 | 938 |
| Fresh | 6 | 9 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 934 | 25 | 959 |
| Status | Accuracy | Program |
|---|---|---|
| 8.6% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) | |
| 80.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) | |
| 77.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| 73.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) | |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) | |
| ✓ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
| ▶ | 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) | |
| ▶ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) | |
| ▶ | 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
Compiled 959 to 510 computations (46.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) | |
| cost-diff | 448 | (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) | |
| cost-diff | 640 | (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) | |
| cost-diff | 0 | #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) | |
| cost-diff | 448 | (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) | |
| cost-diff | 512 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
| 5 492× | lower-fma.f32 |
| 5 480× | lower-fma.f64 |
| 1 606× | lower-*.f32 |
| 1 554× | lower-*.f64 |
| 1 168× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 809 |
| 0 | 114 | 808 |
| 1 | 231 | 735 |
| 2 | 527 | 699 |
| 3 | 1184 | 684 |
| 4 | 1681 | 676 |
| 5 | 2593 | 676 |
| 6 | 4077 | 676 |
| 7 | 4395 | 676 |
| 8 | 4445 | 675 |
| 9 | 4540 | 675 |
| 10 | 4548 | 675 |
| 11 | 4548 | 675 |
| 0 | 4548 | 663 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
eps |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
(*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) |
#s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) x) x) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) x) x) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) |
(fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) |
x |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
(*.f64 (+.f64 x eps) eps) |
(+.f64 x eps) |
eps |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+.f64 x eps) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) eps) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 eps eps) #s(literal 5 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x) |
(*.f64 x x) |
x |
#s(literal 10 binary64) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
eps |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
(*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) |
#s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) x) x) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps)))) |
#s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) |
#s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) x) x) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps eps) |
eps |
x |
#s(literal 10 binary64) |
(+.f64 x eps) |
(+.f64 eps x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 (*.f64 x x) eps))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 (*.f64 x x) eps)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) |
x |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
(*.f64 (+.f64 x eps) eps) |
(*.f64 (+.f64 eps x) eps) |
(+.f64 x eps) |
(+.f64 eps x) |
eps |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) |
#s(literal 5 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) eps))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) x) eps) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x))) eps) |
(fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) |
(*.f64 (*.f64 x x) eps) |
(*.f64 x x) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(+.f64 x eps) |
(+.f64 eps x) |
#s(literal 10 binary64) |
(*.f64 eps eps) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f64 (+.f64 x eps) #s(literal 10 binary64)) | |
| accuracy | 0.15138627930532605 | (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) | |
| accuracy | 0.209316259768442 | (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) | |
| accuracy | 8.79539782668017 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.135097509768442 | (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 8.828541617734482 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 eps eps) x) | |
| accuracy | 8.828541617734482 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) | |
| accuracy | 10.077146972159913 | #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 eps eps) x) | |
| accuracy | 0.0703125 | (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) | |
| accuracy | 8.828541617734482 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) | |
| accuracy | 18.815874052956588 | #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) | |
| accuracy | 0.1328125 | (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) | |
| accuracy | 0.139003759768442 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) | |
| accuracy | 0.15234375 | (*.f64 eps (*.f64 #s(literal 5 binary64) x)) | |
| accuracy | 8.79539782668017 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
| 87.0ms | 62× | 1 | valid |
| 81.0ms | 173× | 0 | valid |
| 22.0ms | 21× | 2 | valid |
Compiled 573 to 65 computations (88.7% saved)
ival-mult: 106.0ms (67.7% of total)ival-add: 18.0ms (11.5% of total)ival-pow: 18.0ms (11.5% of total)adjust: 12.0ms (7.7% of total)ival-sub: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) (patch (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) (patch (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) (patch #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) (patch #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) (patch (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) (patch (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) (patch (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) (patch (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) (patch (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) (patch #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 #s(literal 5 binary64) x)) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) x) (patch (*.f64 (*.f64 eps eps) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) (patch (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) (patch (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (patch (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 5 (* (pow eps 2) x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 10 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (taylor 0 eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor inf eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) (taylor -inf eps) (#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 3) x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 10 eps) (* 10 x)) (taylor 0 eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 10 (* 10 (/ x eps)))) (taylor inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 eps) (taylor -inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -10 (/ x eps)) 10))) (taylor -inf eps) (#s(alt (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (patch (*.f64 (+.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | eps | @ | 0 | (* (* (* (* eps eps) x) x) 10) |
| 0.0ms | eps | @ | 0 | (* (* 10 x) (* (+ x eps) eps)) |
| 0.0ms | eps | @ | -inf | (* (* (* (* (* eps eps) x) x) 10) (+ x eps)) |
| 0.0ms | eps | @ | -inf | (* (* 10 x) (* (+ x eps) eps)) |
| 0.0ms | eps | @ | inf | (* (* 10 x) (* (+ x eps) eps)) |
| 1× | egg-herbie |
| 12 396× | lower-fma.f64 |
| 12 396× | lower-fma.f32 |
| 5 958× | lower-*.f64 |
| 5 958× | lower-*.f32 |
| 4 532× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 9280 |
| 1 | 1992 | 8702 |
| 2 | 7285 | 8649 |
| 0 | 8099 | 8127 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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))) |
(* 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 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)))) |
(* 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 (* 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)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 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 (+ (* 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) (* -10 (/ (pow eps 2) x))) x)))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 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 (+ (* 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) (* -10 (/ (pow eps 2) x))) x)))) |
(* 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 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (* eps (pow x 2))) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* 5 (pow eps 4)) |
(+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))) |
(+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))) |
(* 5 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 3) (+ (* 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 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps)))) |
(* -1 (* (pow x 3) (+ (* -5 eps) (* -1 (/ (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))))) |
(* -1 (* (pow x 3) (+ (* -5 eps) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow eps 3)) (* -5 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))) x))))) |
(* 5 (* eps (pow x 3))) |
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) |
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 5 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ (* 5 eps) (* 10 x))))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 5 (+ (* 5 (/ (pow x 3) (pow eps 3))) (+ (* 10 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))))) |
(* 5 (pow eps 4)) |
(* (pow eps 4) (+ 5 (* 10 (/ x eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -10 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 4) (+ 5 (* -1 (/ (+ (* -10 x) (* -1 (/ (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)))) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 2) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 3) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* 5 (/ (pow x 2) eps)) (* 10 x)) eps)) 10))) |
(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)) |
(* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) |
(* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 5 (/ (pow eps 4) (pow x 3))) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))) x)) (* 5 eps))) |
(* 5 (* 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 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps 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)) |
(* (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) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(* 5 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 10 (pow eps 3)) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* (pow eps 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (pow eps 3)) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 3) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 3)) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* -1 (* (pow eps 3) (- (* -10 (/ x eps)) 10))) |
(* 10 eps) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 10 x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* 10 x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* 10 x) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 10 eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* 10 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
| Outputs |
|---|
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) x) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) (*.f64 x x)) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (*.f64 x x))) #s(literal 5 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 (*.f64 x x) x)) |
(* (pow x 3) (+ 10 (+ (* 5 (/ (pow eps 2) (pow x 2))) (* 10 (/ eps x))))) |
(*.f64 (fma.f64 (*.f64 eps (/.f64 eps (*.f64 x x))) #s(literal 5 binary64) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64))) (*.f64 (*.f64 x x) x)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -10 binary64) (/.f64 eps x) #s(literal -10 binary64))) (*.f64 (*.f64 x x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (neg.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (*.f64 (*.f64 x x) x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ (pow eps 2) x)) (* 10 eps)) x)) 10))) |
(*.f64 (neg.f64 (-.f64 #s(literal -10 binary64) (/.f64 (fma.f64 (*.f64 eps (/.f64 eps x)) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (*.f64 (*.f64 x x) x)) |
(* 10 (pow x 3)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 x eps) #s(literal 10 binary64))) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) (*.f64 eps eps)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) eps) |
(* 5 (* (pow eps 3) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x) |
(* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x) |
(* 5 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) (/.f64 eps x)) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (+ (* 5 (/ (pow eps 3) (pow x 3))) (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))) |
(*.f64 (fma.f64 (fma.f64 eps (/.f64 eps (*.f64 x x)) (/.f64 eps x)) #s(literal 10 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 (*.f64 x x) x)) #s(literal 5 binary64) #s(literal 5 binary64))) (pow.f64 x #s(literal 4 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 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))) x)))) |
(*.f64 (-.f64 #s(literal 5 binary64) (/.f64 (fma.f64 #s(literal -10 binary64) eps (/.f64 (fma.f64 (*.f64 eps (*.f64 eps (/.f64 eps x))) #s(literal 5 binary64) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) (neg.f64 x))) x)) (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 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x) eps) x)) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) x) eps)) |
(* 5 (* (pow eps 3) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x) |
(* (pow eps 3) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps)) |
(* (pow eps 3) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64)))) |
(* (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 (fma.f64 #s(literal 5 binary64) (+.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 eps eps) eps))) (*.f64 (fma.f64 (*.f64 x x) (/.f64 x (*.f64 eps eps)) (/.f64 (*.f64 x x) eps)) #s(literal 10 binary64))) (*.f64 eps eps)) eps) |
(* 5 (* (pow eps 3) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 2) eps)) (* -5 x)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps)) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 (*.f64 x x) eps) (*.f64 x x)) eps) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) x))) (*.f64 (*.f64 eps eps) eps)) |
(* -1 (* (pow eps 3) (+ (* -5 x) (* -1 (/ (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))) eps))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -5 binary64) (*.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) x)) (neg.f64 eps))) (neg.f64 eps)))) (*.f64 (*.f64 eps eps) eps)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* x (+ (* 5 eps) (* 10 x))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 10 binary64)) x) x) |
(* 10 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) |
(* 5 (* eps x)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
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(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
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(pow eps 5) |
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(pow eps 5) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(*.f64 (neg.f64 (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64))) (*.f64 (*.f64 eps eps) eps)) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(* 10 x) |
(*.f64 #s(literal 10 binary64) x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 10 binary64)) x) |
(* 10 x) |
(*.f64 #s(literal 10 binary64) x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 eps x) #s(literal -10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 eps x) #s(literal -10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -10 binary64) (/.f64 eps x) #s(literal -10 binary64))) |
(* 10 x) |
(*.f64 #s(literal 10 binary64) x) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(+ (* 10 eps) (* 10 x)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 10 binary64)) eps) |
(* 10 eps) |
(*.f64 #s(literal 10 binary64) eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -10 binary64) #s(literal -10 binary64))) |
| 10 472× | lower-fma.f32 |
| 10 460× | lower-fma.f64 |
| 5 226× | lower-*.f32 |
| 5 174× | lower-*.f64 |
| 2 776× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 629 |
| 0 | 112 | 573 |
| 1 | 413 | 526 |
| 2 | 2454 | 526 |
| 0 | 8547 | 520 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
(*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps) |
#s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) |
(fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps)) |
(*.f64 (+.f64 x eps) #s(literal 10 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)))) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)))) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)))) (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)))) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps)) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps))) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x))) (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) x))))))) |
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(fma.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) |
(fma.f64 eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) |
(fma.f64 eps (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) |
(fma.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) |
(fma.f64 x (*.f64 (*.f64 #s(literal 5 binary64) eps) x) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 25 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x))) |
(+.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) x (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 5 binary64))) x))) |
#s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64))) x (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) eps) #s(literal 5 binary64))) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) x) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) eps) |
(*.f64 #s(literal 5 binary64) (*.f64 eps x)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) x)) |
(*.f64 x (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 (*.f64 eps eps) x) |
(*.f64 eps (*.f64 eps x)) |
(*.f64 x (*.f64 eps eps)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x) x) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 5 binary64) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) eps) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
(*.f64 eps (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 eps x)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) (+.f64 eps x)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps) eps) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 eps eps)) |
(*.f64 (+.f64 eps x) (*.f64 (*.f64 eps #s(literal 10 binary64)) eps)) |
(*.f64 (*.f64 eps eps) (*.f64 (+.f64 eps x) #s(literal 10 binary64))) |
(*.f64 eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) (*.f64 eps eps))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (*.f64 (*.f64 eps #s(literal 10 binary64)) eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps #s(literal 10 binary64)) eps))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (*.f64 (*.f64 eps #s(literal 10 binary64)) eps)) (-.f64 x eps)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (*.f64 (*.f64 eps #s(literal 10 binary64)) eps)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 10 binary64) x)) (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1000 binary64) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 eps #s(literal 10 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 #s(literal 10 binary64) x) (-.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 eps #s(literal 10 binary64))) (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 10 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 10 binary64))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) #s(literal 10 binary64))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 10 binary64)) (-.f64 x eps)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) #s(literal 10 binary64)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps)) |
(/.f64 (*.f64 #s(literal 10 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) x)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 10 binary64) x)) |
(fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 10 binary64))) |
(fma.f64 x #s(literal 10 binary64) (*.f64 eps #s(literal 10 binary64))) |
(+.f64 (*.f64 eps #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x)) |
(+.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 eps #s(literal 10 binary64))) |
Compiled 43 153 to 2 220 computations (94.9% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 138 | 17 | 1 155 |
| Fresh | 5 | 13 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 147 | 33 | 1 180 |
| Status | Accuracy | Program |
|---|---|---|
| 8.6% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) | |
| 80.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) | |
| 77.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) | |
| ✓ | 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) | |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| 73.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 86.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) | |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) | |
| ✓ | 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) | |
| ✓ | 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
| 85.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) | |
| 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) | |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) | |
| 71.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
Compiled 1 727 to 602 computations (65.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 43.0ms | x |
| 18.0ms | eps |
| 14.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.1% | 3 | eps |
| 99.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 5 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 x #s(literal 5 binary64)) eps)) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 eps eps)) (*.f64 eps eps)) x (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) (*.f64 (*.f64 eps eps) #s(literal 10 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) eps) eps) x)) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) |
1 calls:
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
2 calls:
| 13.0ms | x |
| 11.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 98.3% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 14 to 9 computations (35.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
1 calls:
| 24.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 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)) (pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
3 calls:
| 47.0ms | x |
| 11.0ms | eps |
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 1 | eps |
| 86.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.1% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x) eps (*.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) x) eps) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) (*.f64 eps eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps (/.f64 eps x)) (*.f64 eps eps)) x) #s(literal -10 binary64) (*.f64 #s(literal -5 binary64) eps))) (*.f64 (*.f64 x x) x))) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) 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 |
|---|---|---|
| 86.1% | 1 | x |
| 86.1% | 1 | eps |
| 86.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps (*.f64 (*.f64 x #s(literal 5 binary64)) x)) x) eps)) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 5 binary64)) eps (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) x)) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) x) x) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (*.f64 (*.f64 (*.f64 x x) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) eps)) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(approx (* (* 10 x) (* (+ x eps) eps)) (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) (*.f64 (*.f64 (*.f64 eps #s(literal 5 binary64)) eps) x)) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64)) eps (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 x #s(literal 5 binary64))) eps) (*.f64 eps eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 10 binary64)) (/.f64 eps x) (*.f64 eps #s(literal 5 binary64))) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 (fma.f64 #s(approx (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) (+.f64 x eps))) x (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) (*.f64 eps eps))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal -10 binary64)))) (*.f64 (*.f64 eps eps) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 10 binary64) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps) (+.f64 x eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 5 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 eps x) #s(literal 10 binary64)))) eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
3 calls:
| 30.0ms | x |
| 30.0ms | eps |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 1 | eps |
| 86.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 86.1% | 1 | x |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
3 calls:
| 10.0ms | x |
| 5.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 1 | x |
| 86.0% | 1 | eps |
| 86.0% | 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)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
3 calls:
| 7.0ms | x |
| 5.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 1 | x |
| 85.9% | 1 | eps |
| 85.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 5 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 eps #s(literal 5 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(approx (+ (+ (* (/ (* eps eps) x) 10) (* 4 eps)) eps) (*.f64 #s(literal 5 binary64) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64)) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) x) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
3 calls:
| 5.0ms | eps |
| 5.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 1 | eps |
| 85.7% | 1 | x |
| 85.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
3 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 3.0ms | x |
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 1 | x |
| 85.7% | 1 | eps |
| 85.7% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) x) #s(literal 10 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
3 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 1 | x |
| 85.6% | 1 | eps |
| 85.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
3 calls:
| 3.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 1 | x |
| 71.0% | 1 | eps |
| 71.0% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 17 to 11 computations (35.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.67e-322 |
| 0.0ms | -7.572710354576e-311 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.67e-322 |
| 0.0ms | -7.572710354576e-311 | 0.0 |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 3.1496067361447923e-64 | 5.891341454267897e-63 |
| 27.0ms | -5.31748937899278e-49 | -2.4646461507867532e-52 |
| 21.0ms | 108× | 1 | valid |
| 3.0ms | 52× | 0 | valid |
Compiled 398 to 238 computations (40.2% saved)
ival-pow: 14.0ms (70.7% of total)adjust: 3.0ms (15.2% of total)ival-add: 2.0ms (10.1% of total)ival-sub: 1.0ms (5.1% 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× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1496067361447923e-64 | 5.891341454267897e-63 |
| 1.0ms | -5.31748937899278e-49 | -2.4646461507867532e-52 |
Compiled 378 to 228 computations (39.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1496067361447923e-64 | 5.891341454267897e-63 |
| 1.0ms | -5.31748937899278e-49 | -2.4646461507867532e-52 |
Compiled 328 to 198 computations (39.6% saved)
| 1× | egg-herbie |
| 102× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 901 |
| 1 | 214 | 901 |
| 2 | 233 | 901 |
| 3 | 245 | 901 |
| 4 | 252 | 901 |
| 5 | 254 | 901 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 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 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps) x) x)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x (/.f64 #s(literal 5 binary64) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 x #s(literal 5 binary64) eps) (pow.f64 eps #s(literal 4 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 x #s(literal 5 binary64) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 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 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) (*.f64 x x)) x (*.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64)))) (*.f64 eps eps))) eps)))) |
(if (<=.f64 x #s(literal -4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps)) eps) x) x))) (if (<=.f64 x #s(literal 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 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 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 x x)) x (*.f64 (*.f64 eps eps) (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) x))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 eps (*.f64 #s(literal 5 binary64) x))) eps (*.f64 (*.f64 (*.f64 x x) x) #s(literal 10 binary64))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 #s(literal 10 binary64) (*.f64 (*.f64 x x) x))) eps (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 eps #s(literal 5 binary64))) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 10) (* eps (* 5 x))) eps) (* (* (* x x) x) 10)) eps) (* (* (* (* x x) x) x) 5)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps)) eps) eps (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 5 binary64)) x (*.f64 (*.f64 (+.f64 x eps) #s(literal 10 binary64)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64))) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) x) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 5 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 x x) x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* (* (* (* x x) x) 10) eps) (* (pow x 4) 5)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (+ (* (+ (* 10 (* x x)) (* (* x 5) eps)) eps) (* (* (* x x) x) 10)) eps) (* (pow x 4) 5)) eps) (*.f64 #s(approx (+ (* (+ (* (* (* x x) eps) 5) (* (* (+ x eps) 10) (* eps eps))) x) (* (* 5 (* eps eps)) (* eps eps))) (*.f64 (*.f64 (*.f64 (*.f64 x x) eps) x) #s(literal 5 binary64))) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (* (* x 5) x) (* x x)) (* (* (* (* x x) 10) eps) (+ x eps))) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) eps) eps) eps) x) x))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 15 322× | lower-fma.f64 |
| 15 322× | lower-fma.f32 |
| 13 260× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2860 | 1056 |
| 0 | 8403 | 988 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 0 | 412 | 8792 |
| 1 | 1488 | 8070 |
| 2 | 5189 | 6741 |
| 0 | 8235 | 6330 |
| 0 | 402 | 6920 |
| 1 | 1414 | 6396 |
| 2 | 4777 | 5472 |
| 3 | 7534 | 5472 |
| 0 | 8029 | 5165 |
| 0 | 68 | 565 |
| 0 | 100 | 520 |
| 1 | 367 | 496 |
| 2 | 2826 | 496 |
| 0 | 10061 | 478 |
| 0 | 540 | 9280 |
| 1 | 1992 | 8702 |
| 2 | 7285 | 8649 |
| 0 | 8099 | 8127 |
| 0 | 38 | 297 |
| 0 | 67 | 281 |
| 1 | 249 | 278 |
| 2 | 1839 | 278 |
| 0 | 8545 | 275 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 713 to 225 computations (68.4% saved)
Compiled 992 to 194 computations (80.4% saved)
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