
Time bar (total: 8.3s)
| 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)
| 575.0ms | 6 707× | 0 | valid |
| 218.0ms | 1 270× | 1 | valid |
| 62.0ms | 279× | 2 | valid |
ival-pow: 317.0ms (51.7% of total)ival-<=: 90.0ms (14.7% of total)ival-add: 60.0ms (9.8% of total)adjust: 55.0ms (9% of total)ival-sub: 47.0ms (7.7% of total)ival-and: 21.0ms (3.4% of total)exact: 19.0ms (3.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 40 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 40 | 0 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 0 | 0 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 216 |
| 1 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 412× | 0 | valid |
| 12.0ms | 74× | 1 | valid |
| 9.0ms | 26× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 22.0ms (68.4% of total)adjust: 3.0ms (9.3% of total)ival-add: 3.0ms (9.3% of total)ival-sub: 3.0ms (9.3% 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 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% 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 | (+.f64 x eps) | |
| accuracy | 0.00390625 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0.03869879138909577 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 8.347260776534556 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 15.0ms | 206× | 0 | valid |
| 7.0ms | 37× | 1 | valid |
| 3.0ms | 13× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 10.0ms (64.3% of total)adjust: 2.0ms (12.9% of total)ival-add: 2.0ms (12.9% of total)ival-sub: 1.0ms (6.4% 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 (* 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 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 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 (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 (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 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 (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 -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 -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 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 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 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 (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 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 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 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 (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 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 (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 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 (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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (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 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 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)) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(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) |
(* (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))))))))) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (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 |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ 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 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)) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 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 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))))))))) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(* (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)))) |
(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))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
(pow x 5) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) |
(fma.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps (pow.f64 x #s(literal 5 binary64))) |
x |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x 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 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.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 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #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 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (*.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 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64))) |
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) |
(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 #s(literal 5 binary64) x (/.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 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #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)) |
(* -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 #s(literal 5 binary64) x (/.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 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
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 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 (pow.f64 eps #s(literal 3 binary64)) #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) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #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 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 (pow.f64 eps #s(literal 3 binary64)) #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) (*.f64 eps eps)) x (*.f64 (pow.f64 eps #s(literal 3 binary64)) #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))) |
eps |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(*.f64 (+.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 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (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 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 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 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (*.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 (/.f64 (*.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 eps x) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64))) |
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) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(pow x 5) |
(pow.f64 x #s(literal 5 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (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 (pow.f64 eps #s(literal 3 binary64)) #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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
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) |
(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 |
|---|
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Compiled 10 014 to 1 248 computations (87.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 9 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 10 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.9% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 86.0% | #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)))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| ▶ | 80.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
| ▶ | 80.6% | #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)))) |
| 33.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) | |
| ▶ | 74.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 78.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
Compiled 383 to 275 computations (28.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) | |
| cost-diff | 6272 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| cost-diff | 6656 | (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 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)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (/.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)))) |
| 7 416× | lower-fma.f32 |
| 7 404× | lower-fma.f64 |
| 4 040× | lower-*.f32 |
| 4 020× | lower-*.f64 |
| 1 810× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 450 |
| 0 | 77 | 450 |
| 1 | 130 | 433 |
| 2 | 266 | 413 |
| 3 | 716 | 407 |
| 4 | 2052 | 402 |
| 5 | 4597 | 402 |
| 6 | 7677 | 402 |
| 0 | 8232 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (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 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.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))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
#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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 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)) (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 #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 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.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))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64)) eps) x) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 x x) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) 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) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) |
(*.f64 (/.f64 x eps) (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(*.f64 x (fma.f64 (/.f64 #s(literal 10 binary64) eps) (fma.f64 (/.f64 x eps) x x) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 10 binary64)) eps) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.779553723264401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 9.866133319383092 | (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) | |
| accuracy | 10.932057964438169 | (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) | |
| accuracy | 16.364765901705493 | (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) | |
| accuracy | 0.13658509486196127 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.2051163086106521 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 0.5071294771408572 | (*.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))) | |
| accuracy | 12.040794017761575 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 12.362779680266598 | #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)))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 9.23299594106501 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.140625 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.45606603611158075 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 8.962851454780546 | #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)))) |
| 94.0ms | 192× | 0 | valid |
| 30.0ms | 43× | 1 | valid |
| 21.0ms | 21× | 2 | valid |
Compiled 391 to 47 computations (88% saved)
ival-add: 42.0ms (36.1% of total)ival-pow: 28.0ms (24% of total)ival-mult: 24.0ms (20.6% of total)ival-div: 10.0ms (8.6% of total)adjust: 7.0ms (6% of total)ival-sub: 2.0ms (1.7% of total)ival-neg: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #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)) (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) (patch (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (patch (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#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 (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#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 (* 5 (/ x eps)) (taylor 0 eps) (#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 (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#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 (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#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 (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#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 (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
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#s(alt (* 10 (/ (pow x 3) (pow eps 3))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -10 (/ (pow x 3) eps)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 7.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 6.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 6.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 5.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps)) (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (* (* eps eps) -10) (* 10 (* x x)) (* (pow x 3) 10) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (/ (* (pow x 3) 10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5))) |
| 1× | egg-herbie |
| 13 758× | lower-fma.f64 |
| 13 758× | lower-fma.f32 |
| 6 298× | lower-*.f64 |
| 6 298× | lower-*.f32 |
| 3 916× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 7610 |
| 1 | 1804 | 7125 |
| 2 | 6402 | 7060 |
| 0 | 8120 | 6641 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x 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) |
(pow eps 5) |
(pow eps 5) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 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)))) |
(* 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 x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* 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)))) |
(* 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)))))) |
(* 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 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))) (pow eps 2)) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 2)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 2)) |
(* -10 (/ (pow x 3) eps)) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(/ (+ (* -10 (* eps (pow x 2))) (* -10 (pow x 3))) eps) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(/ (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2))))) (pow eps 3)) |
(/ (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))))) (pow eps 3)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) 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) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 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) |
(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) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 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)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(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))))))))) |
(* 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 2))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(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))))))))) |
(* 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 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 x 2) eps)) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2))))) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2))))) |
(+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3)))))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (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))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(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) |
(* 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)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(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 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 2))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(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))) |
(* -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 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 x 2) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) |
(* -10 (pow x 2)) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
(+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(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 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)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ 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)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 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)) |
(* 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)))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 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)) |
(* 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)))))) |
(* 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))))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* (pow x 2) (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* x (+ 5 (* x (+ (* 10 (/ x (pow eps 2))) (* 10 (/ 1 eps)))))) |
(* -10 (pow x 2)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
(* (pow x 2) (- (* -10 (/ x eps)) 10)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* x (+ (* 10 (/ x (pow eps 3))) (* 10 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) 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)))))))))) |
(* 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 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (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)))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* (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)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (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)))))))))) |
(* 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 (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)))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 5 (pow x 2)) (/ 10 (* eps x))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (* (pow eps 2) x))) (* 10 (/ 1 (pow eps 3))))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 5 (* eps (pow x 2))) (/ 10 (* (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ 1 (* eps (pow x 2)))) (+ (* 10 (/ 1 (pow eps 3))) (+ (/ 1 (pow x 3)) (/ 10 (* (pow eps 2) x)))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (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)))) |
(* 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 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (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)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* (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)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (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)))) |
(* 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 (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)))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(* -10 (/ (pow x 3) eps)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* -10 (/ (pow x 3) eps)) |
(* (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)))) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) 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 (*.f64 #s(literal 10 binary64) x) eps) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 (*.f64 x eps) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) (*.f64 x x))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) 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)))) |
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(* 5 (* eps (pow x 4))) |
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(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 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) (* -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))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 2))) |
(*.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 2))) (* 10 (/ 1 (* eps x))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x))) x)) (* 10 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* 10 (/ 1 eps)) (* 10 (/ 1 x))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 10 binary64) eps) (/.f64 #s(literal 10 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (/ (pow x 3) (pow eps 3))) |
(*.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* (pow x 3) (+ (* 10 (/ 1 (pow eps 3))) (* 10 (/ 1 (* (pow eps 2) x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 10 binary64) eps) eps) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) x) eps) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) x) (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x)))) x)) (* 10 (/ 1 (pow eps 3)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) x) eps) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 10 binary64) eps) eps)) x) (/.f64 #s(literal 10 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64)) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* -10 (/ (pow x 3) eps)) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
| 5 754× | lower-*.f32 |
| 5 734× | lower-*.f64 |
| 3 988× | lower-fma.f32 |
| 3 976× | lower-fma.f64 |
| 3 542× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 355 |
| 0 | 77 | 355 |
| 1 | 292 | 340 |
| 2 | 2283 | 340 |
| 0 | 8628 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#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)))) |
(*.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))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps)) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) |
(fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) |
(+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
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Compiled 24 580 to 2 959 computations (88% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 007 | 8 | 1 015 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 012 | 13 | 1 025 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 86.0% | #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)))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 33.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) | |
| 70.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| ▶ | 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
| ▶ | 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
| 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) | |
| ▶ | 67.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
| ▶ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
Compiled 507 to 346 computations (31.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) | |
| cost-diff | 320 | (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 15 594× | lower-fma.f32 |
| 15 586× | lower-fma.f64 |
| 3 650× | lower-*.f32 |
| 3 602× | lower-*.f64 |
| 2 168× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 760 |
| 0 | 104 | 760 |
| 1 | 191 | 728 |
| 2 | 392 | 715 |
| 3 | 964 | 715 |
| 4 | 2170 | 701 |
| 5 | 4545 | 701 |
| 6 | 7403 | 701 |
| 0 | 8134 | 684 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
eps |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 x eps) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 x eps)) |
eps |
(+.f64 x eps) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) |
(*.f64 eps (*.f64 #s(literal 5 binary64) eps)) |
eps |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
(+.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (*.f64 eps eps) (fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) |
(fma.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
(+.f64 eps x) |
eps |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 x eps)) |
(*.f64 (+.f64 eps x) eps) |
eps |
(+.f64 x eps) |
(+.f64 eps x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps))) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) (*.f64 (*.f64 eps x) eps)) |
(*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) |
(*.f64 (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) eps) x) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) #s(literal 10 binary64) (*.f64 (*.f64 #s(literal 5 binary64) eps) eps)) x) |
(*.f64 eps (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) eps) |
eps |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
(+.f64 x eps) |
(+.f64 eps x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| accuracy | 0.08203125 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 12.580443384633758 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| accuracy | 0.14453125 | (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 0.2051163086106521 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 8.779553723264401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) | |
| accuracy | 12.26708144884996 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) | |
| accuracy | 0.11328125 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) | |
| accuracy | 0.13671875 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) | |
| accuracy | 0.26916754138909577 | (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 x eps) eps) | |
| accuracy | 0.12655759254663357 | (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) | |
| accuracy | 15.70899754722028 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) | |
| accuracy | 0.109375 | (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) | |
| accuracy | 0.2051163086106521 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 8.779553723264401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 135.0ms | 199× | 0 | valid |
| 35.0ms | 15× | 2 | valid |
| 35.0ms | 42× | 1 | valid |
Compiled 494 to 60 computations (87.9% saved)
ival-mult: 88.0ms (54.2% of total)ival-pow: 22.0ms (13.6% of total)ival-neg: 21.0ms (12.9% of total)ival-add: 13.0ms (8% of total)adjust: 11.0ms (6.8% of total)ival-div: 6.0ms (3.7% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) (patch (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) (patch (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) (patch (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps (pow x 3))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps))) |
| 7.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps))) |
| 7.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps))) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps))) |
| 4.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) eps) (* (+ (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* 5 x) eps) eps) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* 10 (* x x)) (* (* (+ (* 5 x) eps) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* (* eps (+ x eps)) 10) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* eps (* 5 eps))) |
| 1× | egg-herbie |
| 13 682× | lower-fma.f64 |
| 13 682× | lower-fma.f32 |
| 6 070× | lower-*.f64 |
| 6 070× | lower-*.f32 |
| 4 116× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 9407 |
| 1 | 1879 | 8855 |
| 2 | 6851 | 8787 |
| 0 | 8124 | 8249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 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)))) |
(* 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)))))) |
(* 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))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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)))))) |
(* 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))))) |
(* 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 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))))) |
(* 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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps x)) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(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) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 4) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 4) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(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))))))))) |
(* 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 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))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(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))))))))) |
(* 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 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) (+ (* 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))))) |
(* 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)))))) |
(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) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* 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) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(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))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 4) |
(* (pow eps 4) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* (pow eps 4) (+ 1 (* -1 (/ (+ (* -5 x) (* -1 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))) eps)))) |
(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))) |
(* -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 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))) |
(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))) |
(* -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 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))) |
(* (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)))) |
(* 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))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 5 (* (pow eps 4) 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 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 4) |
(+ (* 5 (* (pow eps 3) x)) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* 10 (* (pow eps 2) x)))) (pow eps 4)) |
(+ (* x (+ (* 5 (pow eps 3)) (* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))))) (pow eps 4)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 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)))))) |
(* 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))))) |
(* 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)) |
(* 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)))))) |
(* 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))))) |
(* 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 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))))) |
(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 eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 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 2) x)) (* 10 (pow eps 3)))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (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)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (+ (* 10 (/ (pow eps 2) x)) (/ (pow eps 4) (pow x 3)))))) |
(* (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)))))))))) |
(* 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 (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)))))) |
(* 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 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)))))))))) |
(* 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 (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 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 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))))) |
(* (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)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow 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)))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 3)) (* -1 (/ (pow eps 4) x))) x)) (* 10 (pow eps 2))) x))))) |
(* (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)))) |
(* 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 (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)))) |
(* 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 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)))) |
(* 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 (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)) |
(* (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)))) |
(* 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))) |
(* (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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* (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)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 5 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps x)) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) 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) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 (*.f64 #s(literal 10 binary64) x) eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps) eps) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64)) x) eps) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (+.f64 x eps)) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x) eps) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (+.f64 x eps)) #s(literal 10 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps)) 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) x) (*.f64 x eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 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 (*.f64 #s(literal 10 binary64) x) eps (*.f64 #s(literal 5 binary64) (*.f64 eps eps))) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
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(* 10 (* eps (pow x 3))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* (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) (* -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))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x))) (neg.f64 x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(*.f64 (neg.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 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (*.f64 #s(literal -4 binary64) (*.f64 eps eps))) (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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (fma.f64 #s(literal -6 binary64) (*.f64 eps eps) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) (neg.f64 x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* 10 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 10 binary64)) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (neg.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 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (neg.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 3 binary64))) |
| 5 954× | lower-*.f32 |
| 5 906× | lower-*.f64 |
| 4 772× | lower-fma.f32 |
| 4 764× | lower-fma.f64 |
| 3 242× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 641 |
| 0 | 104 | 641 |
| 1 | 360 | 609 |
| 2 | 2640 | 609 |
| 0 | 8662 | 599 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) |
(fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(*.f64 eps (*.f64 #s(literal 5 binary64) eps)) |
| Outputs |
|---|
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Compiled 16 004 to 1 802 computations (88.7% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 776 | 12 | 788 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 781 | 20 | 801 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 86.0% | #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)))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 33.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) | |
| ✓ | 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| 80.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) | |
| ✓ | 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) | |
| ▶ | 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
| 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) | |
| ▶ | 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
| 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) | |
| ▶ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
| 67.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) | |
| ✓ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| ▶ | 67.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
| ▶ | 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
Compiled 676 to 467 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) | |
| cost-diff | 6144 | (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) |
| 16 822× | lower-fma.f32 |
| 16 814× | lower-fma.f64 |
| 4 144× | lower-*.f32 |
| 4 092× | lower-*.f64 |
| 2 400× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 994 |
| 0 | 123 | 990 |
| 1 | 246 | 940 |
| 2 | 517 | 928 |
| 3 | 1096 | 928 |
| 4 | 2492 | 920 |
| 5 | 5165 | 920 |
| 0 | 8061 | 886 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(+.f64 eps x) |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) |
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) |
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) |
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
#s(literal 5 binary64) |
(*.f64 eps eps) |
eps |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
x |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) |
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) |
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
#s(literal 5 binary64) |
x |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(*.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 x eps)) |
(*.f64 eps eps) |
(+.f64 x eps) |
#s(literal 10 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) |
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 (*.f64 (+.f64 eps x) x) eps) (*.f64 #s(literal 10 binary64) x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) x) eps) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
(*.f64 #s(literal 10 binary64) (+.f64 eps x)) |
(+.f64 eps x) |
#s(literal 10 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps))) |
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) |
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) (*.f64 eps eps)) |
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) |
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) |
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) |
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 eps eps) |
eps |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) x) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) |
x |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x)) |
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) |
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) x) |
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) |
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) x) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) x) |
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) |
(fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) |
#s(literal 5 binary64) |
x |
(*.f64 #s(literal 10 binary64) eps) |
#s(literal 10 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps))) |
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) |
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) x)) eps) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) |
(*.f64 (fma.f64 (*.f64 (+.f64 eps x) eps) #s(literal 10 binary64) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 eps x) #s(literal 5 binary64)) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 x eps)) |
(*.f64 (*.f64 (+.f64 eps x) eps) eps) |
(*.f64 eps eps) |
(+.f64 x eps) |
(+.f64 eps x) |
#s(literal 10 binary64) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (*.f64 (*.f64 eps eps) (+.f64 x eps)) | |
| accuracy | 0.13761257300974952 | (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) | |
| accuracy | 0.2285538086106521 | (*.f64 (*.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) | |
| accuracy | 0.1328125 | (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) | |
| accuracy | 11.517987873835677 | #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) | |
| accuracy | 0.0703125 | (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) | |
| accuracy | 12.212624653717137 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) | |
| accuracy | 15.70899754722028 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) | |
| accuracy | 0.18035126953688402 | (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) | |
| accuracy | 8.779553723264401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) | |
| accuracy | 12.26708144884996 | #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) | |
| accuracy | 19.816872074340566 | #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) | |
| accuracy | 0.109375 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) | |
| accuracy | 0.13671875 | (*.f64 (+.f64 eps x) #s(literal 10 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) | |
| accuracy | 8.779553723264401 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
| 158.0ms | 194× | 0 | valid |
| 123.0ms | 44× | 1 | valid |
| 37.0ms | 18× | 2 | valid |
Compiled 563 to 76 computations (86.5% saved)
ival-mult: 216.0ms (75% of total)ival-pow: 36.0ms (12.5% of total)ival-add: 17.0ms (5.9% of total)adjust: 9.0ms (3.1% of total)ival-div: 6.0ms (2.1% of total)ival-sub: 2.0ms (0.7% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) (patch (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) (patch (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) (patch (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) (patch (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) (patch #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) (patch (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (patch (*.f64 (+.f64 eps x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) (patch #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) 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 eps eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) (patch (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) (patch #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x eps) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) (+.f64 x eps)) (patch (*.f64 (*.f64 eps eps) (+.f64 x eps)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) (patch (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) (pow x 3))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | inf | ((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps eps) 10)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps))) |
| 4.0ms | eps | @ | -inf | ((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps eps) 10)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps))) |
| 4.0ms | x | @ | -inf | ((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps eps) 10)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps))) |
| 4.0ms | eps | @ | inf | ((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps eps) 10)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps))) |
| 4.0ms | eps | @ | 0 | ((* (+ (* (* (* (+ (* 5 x) eps) eps) eps) eps) (* (* (* (+ eps x) 10) (* x x)) eps)) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* 5 x) eps) eps) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (* (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) eps) (* (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps eps) 10)) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) x) (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (* (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (* x x)) (* (* (+ eps x) 10) (* x x)) (* (+ eps x) 10) (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (* 5 (* eps eps)) (* (* eps eps) 10) (* x (* (* eps eps) 10)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) (* 10 eps)) x) (* (* x eps) 5) (* (* (* eps eps) (+ x eps)) 10) (* (* eps eps) (+ x eps))) |
| 1× | egg-herbie |
| 13 332× | lower-fma.f64 |
| 13 332× | lower-fma.f32 |
| 6 406× | lower-*.f64 |
| 6 406× | lower-*.f32 |
| 4 866× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 11193 |
| 1 | 2034 | 10583 |
| 2 | 7236 | 10510 |
| 0 | 8061 | 9861 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* (pow eps 2) (+ eps (* 5 x))) |
(* 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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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)))))) |
(* 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))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 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)))))) |
(* 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))))) |
(* 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))))) |
(* 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))))) |
(* 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)))) |
(* 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)))))) |
(* 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 x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* 10 x) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 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)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (pow x 2)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 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))) |
(* (pow eps 2) x) |
(* (pow eps 2) (+ eps x)) |
(* (pow eps 2) (+ eps x)) |
(* (pow eps 2) (+ eps x)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 5) |
(* (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) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(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) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (+ (* 10 (/ (pow x 2) (pow eps 2))) (* 10 (/ (pow x 3) (pow eps 3))))))) |
(* 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) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 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) (+ (* 10 (/ (pow x 2) eps)) (* 10 (/ (pow x 3) (pow eps 2)))))) |
(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))))))))) |
(* 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 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))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(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))))))))) |
(* 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 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) (+ (* 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 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))))) |
(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))))))))) |
(* 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))) |
(* (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 (* eps (pow x 2))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 eps) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* eps (+ 10 (* 10 (/ x eps)))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 x) (+ (* 10 (/ (pow x 2) eps)) (* 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)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* 10 (* eps x)) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps 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)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(* (pow eps 3) (+ 1 (/ x eps))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -5 (/ x eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x)) eps)) 1))) |
(* 5 (* (pow eps 4) 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 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* 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 (/ (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))) eps))))) |
(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))) |
(* -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 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))) |
(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))) |
(* -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 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))) |
(* (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 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) |
(* -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))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -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 (* eps (pow x 2))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* 10 eps) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* -1 (* eps (- (* -10 (/ x eps)) 10))) |
(* 5 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))) eps)) (* 5 x))) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 5 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* 10 (* eps x)) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps))))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 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))) |
(pow eps 3) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(* -1 (* (pow eps 3) (- (* -1 (/ x eps)) 1))) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(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 eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(pow eps 3) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(+ (* 5 (* (pow eps 2) x)) (pow eps 3)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(+ (* x (+ (* 5 (pow eps 4)) (* x (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))))) (pow eps 5)) |
(* 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 2) x)) (* 10 (pow eps 3)))))) |
(* 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 (* eps x)) (* 10 (pow eps 2)))))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 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)))))) |
(* 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))))) |
(* 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)) |
(* 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)))))) |
(* 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))))) |
(* 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))))) |
(* 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))))) |
(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)) |
(* 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)))))) |
(* 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)))))) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 eps) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(+ (* 10 eps) (* 10 x)) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (* 10 (* eps x)))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* x (+ (* 5 (pow eps 2)) (* x (+ (* 10 eps) (* 10 x))))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* eps x)) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* x (+ (* 5 x) (* 10 eps))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps 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)) (* 10 (pow eps 3))) |
(pow eps 3) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(+ (* (pow eps 2) x) (pow eps 3)) |
(+ (* (pow eps 2) x) (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) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* (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)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 5 (* (pow eps 2) x)) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* x (+ (* 5 (pow eps 2)) (/ (pow eps 3) x))) |
(* (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)))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (+ (* 10 (pow eps 2)) (/ (pow eps 5) (pow x 3)))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 4) (pow x 2))) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (pow x 3) (+ (* 5 (/ (pow eps 3) (pow x 2))) (+ (* 10 eps) (* 10 (/ (pow eps 2) x))))) |
(* (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)))))))))) |
(* 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 (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)))))) |
(* 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 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)))))))))) |
(* 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 (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 (+ (* 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 (* 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)))))) |
(* (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)))))))))) |
(* 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) (+ (* 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)))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 10 x) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps x)))) |
(* x (+ 10 (* 10 (/ eps 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 eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 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)))) |
(* (pow eps 2) x) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* x (+ (/ (pow eps 3) x) (pow eps 2))) |
(* x (+ (/ (pow eps 3) x) (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 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* (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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 5 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* -1 (* x (+ (* -5 (pow eps 2)) (* -1 (/ (pow eps 3) x))))) |
(* (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)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 (pow eps 2)) (* -1 (/ (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3))) x))))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -1 (/ (+ (* 5 (/ (pow eps 3) x)) (* 10 (pow eps 2))) x))))) |
(* (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)))) |
(* 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 (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)))) |
(* 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 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)))) |
(* 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 (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)) |
(* (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 (* 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 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)))) |
(* 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))) |
(* (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))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* 10 x) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(* 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 eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 5 (* eps x)) |
(* 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 eps 2) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
| Outputs |
|---|
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x) |
(* (pow eps 2) (+ eps (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(* (pow eps 2) (+ eps (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(* (pow eps 2) (+ eps (* 5 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps) |
(* 10 (* (pow eps 2) (pow x 3))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) eps) |
(* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) (*.f64 eps eps)) |
(* 10 (* eps (pow x 3))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64)) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps))) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) eps) |
(* eps (+ (* 10 (pow x 3)) (* eps (+ (* 5 (* eps x)) (* 10 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) eps (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) x)) x) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) eps) |
(* 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 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(+ (* 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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) #s(literal 10 binary64)) x) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) eps) |
(* 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 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(+ (* 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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(* 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 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(+ (* 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 x x) #s(literal 10 binary64)) (*.f64 eps (+.f64 x eps)))) |
(* 5 (* eps (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) |
(* eps (+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) |
(* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))) eps)) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x eps) #s(literal 5 binary64) (*.f64 (*.f64 x x) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
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(* 5 (* eps (pow x 4))) |
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(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) 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 #s(literal -4 binary64) eps) eps (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 x) |
(*.f64 x #s(literal 10 binary64)) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) |
(* -1 (* x (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) |
(* 10 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -10 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (*.f64 eps eps) x) #s(literal 5 binary64) (*.f64 eps #s(literal 10 binary64))) x))) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) 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)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps #s(literal 10 binary64)) eps) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(* -1 (* x (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))))) |
(*.f64 (*.f64 #s(literal 10 binary64) (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x))) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 x eps) eps) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
(* -1 (* x (+ (* -1 (/ (pow eps 3) x)) (* -1 (pow eps 2))))) |
(*.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) |
| 6 902× | lower-*.f32 |
| 6 850× | lower-*.f64 |
| 6 248× | lower-fma.f32 |
| 6 240× | lower-fma.f64 |
| 2 748× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 884 |
| 0 | 123 | 881 |
| 1 | 450 | 831 |
| 2 | 3338 | 831 |
| 0 | 9204 | 806 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps)) |
(*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps) |
(*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) |
(*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x) |
(fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) |
(*.f64 (+.f64 eps x) #s(literal 10 binary64)) |
#s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) |
(*.f64 #s(literal 5 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 10 binary64)) |
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) |
#s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps eps) (+.f64 x eps)) |
| Outputs |
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Compiled 21 752 to 2 569 computations (88.2% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 968 | 8 | 976 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 976 | 20 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 86.0% | #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)))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| 33.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) | |
| ✓ | 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
| 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) | |
| 67.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) | |
| 86.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) | |
| ✓ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
| ✓ | 86.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
| 67.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) | |
| ✓ | 67.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) | |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) | |
| 80.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) | |
| 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) | |
| 80.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
Compiled 1 070 to 529 computations (50.6% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#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)))) |
#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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.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)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.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)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 15.0ms | 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 |
|---|---|---|
| 98.8% | 3 | x |
| 97.9% | 3 | eps |
| 99.6% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#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)))) |
#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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.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)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.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)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#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)))) |
#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 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.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)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
2 calls:
| 9.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#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)))) |
#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)))) |
| Outputs |
|---|
#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)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
1 calls:
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))) |
2 calls:
| 30.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) |
2 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x) (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 5 binary64)) eps) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x (*.f64 (*.f64 (*.f64 eps eps) (+.f64 x eps)) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal 5 binary64) (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) eps) #s(literal 10 binary64))) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 #s(literal 5 binary64) eps)) x (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) x) eps (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x))) eps) eps))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
3 calls:
| 8.0ms | x |
| 7.0ms | eps |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 1 | eps |
| 80.8% | 1 | x |
| 80.8% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 #s(literal 10 binary64) eps) eps))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 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 |
|---|---|---|
| 80.6% | 1 | eps |
| 80.6% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 80.6% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 eps (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 #s(literal 10 binary64) eps) eps)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 10 binary64))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) (*.f64 x x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x eps)))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
3 calls:
| 4.0ms | x |
| 4.0ms | eps |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | x |
| 80.3% | 1 | eps |
| 80.3% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
Total -8.5b remaining (-67.1%)
Threshold costs -8.5b (-67.1%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 eps eps)) x)) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* (* eps (* 5 eps)) x) (* (* 10 (* x x)) (+ x eps))) (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 5 binary64))) eps) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 eps (*.f64 (*.f64 eps x) (*.f64 #s(literal 10 binary64) x)))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
3 calls:
| 8.0ms | eps |
| 2.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | x |
| 80.3% | 1 | eps |
| 80.3% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.29933281e-315 |
| 0.0ms | -1.3755e-320 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
| 80× | *-commutative-binary64-*.f64 |
| 26× | +-commutative-binary64-+.f64 |
| 20× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 1268 |
| 1 | 189 | 1268 |
| 2 | 202 | 1268 |
| 3 | 219 | 1268 |
| 4 | 233 | 1268 |
| 5 | 241 | 1268 |
| 6 | 245 | 1268 |
| 7 | 246 | 1268 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (-.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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (-.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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) (-.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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 #s(approx (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (*.f64 (*.f64 (fma.f64 #s(literal -10 binary64) (/.f64 x eps) #s(literal -10 binary64)) x) x)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #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 -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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)))) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 (+.f64 eps x) #s(literal 10 binary64)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) eps (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) eps)) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))) (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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (+ (* (* x x) -10) (/ (* (pow x 3) 10) (neg eps))) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 eps x) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps)) eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 x eps)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 eps #s(literal 10 binary64))) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (*.f64 #s(approx (* (+ (* 5 x) (* 10 eps)) x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 #s(approx (+ (* (* (* x eps) 5) x) (* (* (* eps eps) (+ x eps)) 10)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) x) eps)) (*.f64 x x)))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 13 758× | lower-fma.f64 |
| 13 758× | lower-fma.f32 |
| 13 682× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 11193 |
| 1 | 2034 | 10583 |
| 2 | 7236 | 10510 |
| 0 | 8061 | 9861 |
| 0 | 527 | 9407 |
| 1 | 1879 | 8855 |
| 2 | 6851 | 8787 |
| 0 | 8124 | 8249 |
| 0 | 72 | 641 |
| 0 | 104 | 641 |
| 1 | 360 | 609 |
| 2 | 2640 | 609 |
| 0 | 8662 | 599 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 0 | 524 | 7610 |
| 1 | 1804 | 7125 |
| 2 | 6402 | 7060 |
| 0 | 8120 | 6641 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 724 to 258 computations (64.4% saved)
Compiled 1 212 to 214 computations (82.3% saved)
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