
Time bar (total: 8.7s)
| 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)
| 567.0ms | 6 730× | 0 | valid |
| 194.0ms | 1 245× | 1 | valid |
| 81.0ms | 281× | 2 | valid |
ival-pow: 328.0ms (52.8% of total)ival-<=: 92.0ms (14.8% of total)ival-add: 64.0ms (10.3% of total)adjust: 51.0ms (8.2% of total)ival-sub: 45.0ms (7.3% of total)ival-and: 20.0ms (3.2% of total)exact: 18.0ms (2.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 1 | (-2.0123594670817424e-49 -1.2596807187595768e-129) | 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 | 31 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 1 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 1 | 0 | 225 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 31 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 418× | 0 | valid |
| 11.0ms | 68× | 1 | valid |
| 5.0ms | 26× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 19.0ms (64.9% of total)adjust: 3.0ms (10.3% of total)ival-add: 3.0ms (10.3% of total)ival-sub: 3.0ms (10.3% 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 |
|---|---|---|
| ▶ | 89.8% | (-.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 | (pow.f64 x #s(literal 5 binary64)) | |
| accuracy | 0 | (+.f64 x eps) | |
| accuracy | 0.015625 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 6.487045546771129 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 14.0ms | 209× | 0 | valid |
| 5.0ms | 34× | 1 | valid |
| 3.0ms | 13× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 9.0ms (64.6% of total)ival-add: 2.0ms (14.4% of total)adjust: 1.0ms (7.2% of total)ival-sub: 1.0ms (7.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 | |
|---|---|---|---|---|
| 25.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 2.0ms | x | @ | -inf | ((- (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)) |
| 1.0ms | 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× | 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 |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 20 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 30 binary64)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 20 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) x) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64)))) #s(literal -1 binary64))) |
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(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
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(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (+.f64 eps x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) |
(+.f64 eps x) |
(+.f64 x eps) |
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64))) |
Compiled 10 014 to 1 248 computations (87.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 8 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 9 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.1% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ▶ | 89.4% | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 89.3% | #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)))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 85.2% | #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)))) | |
| ▶ | 80.6% | #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)))) |
| 85.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
Compiled 221 to 179 computations (19% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 eps x) | |
| cost-diff | 0 | (-.f64 x eps) | |
| cost-diff | 0 | (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| cost-diff | 128 | (+.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)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| cost-diff | 0 | (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
| 8 756× | lower-fma.f32 |
| 8 750× | lower-fma.f64 |
| 3 538× | lower-*.f32 |
| 3 528× | lower-*.f64 |
| 1 946× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 283 |
| 0 | 65 | 287 |
| 1 | 104 | 273 |
| 2 | 186 | 268 |
| 3 | 413 | 268 |
| 4 | 854 | 268 |
| 5 | 1662 | 268 |
| 6 | 3313 | 268 |
| 7 | 5433 | 268 |
| 8 | 7567 | 268 |
| 0 | 8140 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(+.f64 eps x) |
eps |
x |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)))) |
(*.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))) |
(+.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)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) |
(*.f64 (-.f64 x eps) (+.f64 eps x)) |
(-.f64 x eps) |
x |
eps |
(+.f64 eps x) |
#s(literal 5 binary64) |
(pow.f64 (-.f64 x eps) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 eps x) #s(literal 5 binary64)) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 eps x) |
(+.f64 x eps) |
eps |
x |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 5 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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 (fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.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))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.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)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 (/.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) eps) x) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 #s(literal 10 binary64) x) (/.f64 x eps)) |
(*.f64 (*.f64 x x) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal -10 binary64) |
(neg.f64 eps) |
eps |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (pow.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) |
(pow.f64 (fma.f64 (neg.f64 eps) eps (*.f64 x x)) #s(literal 5 binary64)) |
(*.f64 (-.f64 x eps) (+.f64 eps x)) |
(fma.f64 (neg.f64 eps) eps (*.f64 x x)) |
(-.f64 x eps) |
x |
eps |
(+.f64 eps x) |
(+.f64 x eps) |
#s(literal 5 binary64) |
(pow.f64 (-.f64 x eps) #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 x #s(literal 5 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (pow.f64 x #s(literal 5 binary64))) | |
| accuracy | 0.01171875 | (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) | |
| accuracy | 0.15794760745286218 | (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) | |
| accuracy | 58.13946666278863 | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 0.2578125 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) | |
| accuracy | 6.736159637756621 | #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)))) | |
| accuracy | 9.662774386529243 | (*.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))) | |
| accuracy | 14.811047476169762 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.13671875 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.3779420353412345 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 6.830018942250204 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 6.909461724583563 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.015625 | (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) | |
| accuracy | 0.07421875 | (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) | |
| accuracy | 0.45916890593100546 | (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) | |
| accuracy | 6.487045546771129 | (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 70.0ms | 17× | 2 | valid |
| 66.0ms | 102× | 1 | valid |
| 61.0ms | 137× | 0 | valid |
Compiled 257 to 39 computations (84.8% saved)
ival-pow: 65.0ms (54.1% of total)ival-mult: 14.0ms (11.7% of total)adjust: 12.0ms (10% of total)ival-div: 10.0ms (8.3% of total)ival-add: 10.0ms (8.3% of total)ival-sub: 5.0ms (4.2% of total)ival-neg: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) (patch (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) #<representation binary64>) () ()) |
#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) (patch (/.f64 (*.f64 (*.f64 x x) #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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (patch (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (patch (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x eps) (patch (-.f64 x eps) #<representation binary64>) () ()) |
#s(alt (+.f64 eps x) (patch (+.f64 eps x) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) (patch (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #<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 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (patch (neg.f64 (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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) (taylor 0 eps) (#s(alt (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #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 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps 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)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps 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)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) #<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)) (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 (* 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)) (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 (* 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)) (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 (* 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)) (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 eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<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 (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>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | eps | @ | 0 | ((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5))) |
| 12.0ms | x | @ | 0 | ((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5))) |
| 7.0ms | x | @ | inf | ((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5))) |
| 6.0ms | x | @ | -inf | ((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5))) |
| 5.0ms | eps | @ | inf | ((/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (- (pow (+ eps x) 5) (pow x 5)) (pow (+ eps x) 5) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (* (* x x) -10) (neg eps)) (- (pow (+ x eps) 5) (pow x 5)) (+ (* (pow (* (- x eps) (+ eps x)) 5) (pow (- x eps) -5)) (neg (pow x 5))) (pow (* (- x eps) (+ eps x)) 5) (- x eps) (+ eps x) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (pow (- x eps) -5) (neg (pow x 5))) |
| 1× | egg-herbie |
| 8 082× | lower-fma.f64 |
| 8 082× | lower-fma.f32 |
| 6 648× | lower-*.f64 |
| 6 648× | lower-*.f32 |
| 6 248× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 999 | 10425 |
| 1 | 3500 | 10147 |
| 0 | 8433 | 9482 |
| 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)))) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow 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)) |
(* 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) |
(* 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) |
(* 10 (/ (pow x 2) eps)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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)))) |
(* 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 10) |
(+ (* eps (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4))))) (pow x 10)) |
(+ (* eps (+ (* eps (+ (* 2 (* (pow x 5) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 4)) (pow x 4))))) (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4)))))) (pow x 10)) |
(+ (* eps (+ (* eps (+ (* 2 (* (pow x 5) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (+ (* eps (+ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (+ (* 4 (pow x 4)) (pow x 4))) (+ (* (pow x 5) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (pow x 5) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 4 (pow x 4)) (pow x 4)))))) (+ (* (pow x 5) (+ (* -4 (pow x 4)) (* -1 (pow x 4)))) (* (pow x 5) (+ (* 4 (pow x 4)) (pow x 4)))))) (pow x 10)) |
x |
(+ x (* -1 eps)) |
(+ x (* -1 eps)) |
(+ x (* -1 eps)) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ 1 (pow x 5)) |
(+ (* 5 (/ eps (pow x 6))) (/ 1 (pow x 5))) |
(+ (* eps (+ (* -1 (* eps (+ (* 4 (/ 1 (pow x 7))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 6 (/ 1 (pow x 7))))))) (* 5 (/ 1 (pow x 6))))) (/ 1 (pow x 5))) |
(+ (* eps (+ (* eps (- (* eps (- (* 4 (/ 1 (pow x 8))) (+ (* -1 (/ (* (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 10 (/ 1 (pow x 7))))) (pow x 5))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow x 10))) (* 5 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (pow x 11))))))) (+ (* 4 (/ 1 (pow x 7))) (+ (* 5 (/ (+ (* -4 (pow x 4)) (* -1 (pow x 4))) (pow x 11))) (* 6 (/ 1 (pow x 7))))))) (* 5 (/ 1 (pow x 6))))) (/ 1 (pow x 5))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(/ 1 (pow eps 5)) |
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (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))))))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (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) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
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 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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 (+ (* 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))))))))) |
(* -1 (pow eps 10)) |
(* (pow eps 10) (- (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* 4 (/ x eps)) (/ x eps))) 1)) |
(* (pow eps 10) (- (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (/ x eps) (/ (pow (+ x (* 4 x)) 2) (pow eps 2)))))))) 1)) |
(* (pow eps 10) (- (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ x (* 4 x)) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (pow eps 2))) (+ (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) (pow eps 3))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (/ x eps) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow eps 3)) (+ (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 3)) (/ (pow (+ x (* 4 x)) 2) (pow eps 2))))))))))))) 1)) |
(* -1 eps) |
(* eps (- (/ x eps) 1)) |
(* eps (- (/ x eps) 1)) |
(* eps (- (/ x eps) 1)) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(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)))))) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ -1 (pow eps 5)) |
(/ (- (* -1 (/ (+ x (* 4 x)) eps)) 1) (pow eps 5)) |
(/ (- (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2))) (pow eps 2))) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (pow eps 5)) |
(/ (- (* -1 (/ (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2))))))) (pow eps 3))) (+ 1 (+ (* -4 (/ (pow x 2) (pow eps 2))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (/ x eps) (/ (pow (+ x (* 4 x)) 2) (pow eps 2)))))))) (pow eps 5)) |
(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))) |
(/ 1 (pow eps 5)) |
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(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))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* -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) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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))) |
(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))) |
(* -1 (pow eps 10)) |
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (* 4 x))) eps)) 1)) |
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* -1 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (* 4 x)))) eps)) 1)) |
(* (pow eps 10) (- (* -1 (/ (+ x (+ (* -1 (+ x (* 4 x))) (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* -1 (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (+ (* -1 (/ (+ (* -1 (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 3)) (+ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (+ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))))) eps)) (pow (+ x (* 4 x)) 2))))) eps)) (* 4 x)))) eps)) 1)) |
(* -1 eps) |
(* -1 (* eps (+ 1 (* -1 (/ x eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ x eps))))) |
(* -1 (* eps (+ 1 (* -1 (/ x eps))))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ 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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/ -1 (pow eps 5)) |
(* -1 (/ (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5))) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ x (* 4 x)) 2) eps)) (+ (* 2 (/ (pow x 2) eps)) (* 8 (/ (pow x 2) eps)))) (+ x (* 4 x))) eps))) (pow eps 5))) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) eps)) (+ (* -1 (/ (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) eps)) (+ (* 4 (/ (pow x 3) eps)) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps)))) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) eps)) (+ x (* 4 x))) eps))) (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)) |
(/ 1 (pow eps 5)) |
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5))) |
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (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) |
(+ (* 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)) |
(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) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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 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)) |
(* -1 (pow eps 10)) |
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))))) |
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (+ (* (pow eps 5) (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (pow (+ (* 4 (pow eps 4)) (pow eps 4)) 2)))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4))))))) |
(+ (* -1 (pow eps 10)) (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4)))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (+ (* x (+ (* -1 (* (pow eps 5) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))) (+ (* (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ (* 4 (pow eps 4)) (pow eps 4))) (+ (* (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* 4 (pow eps 4)) (pow eps 4))) (* (pow eps 5) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))) (+ (* (pow eps 5) (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))) (pow (+ (* 4 (pow eps 4)) (pow eps 4)) 2))))) (* (pow eps 5) (+ (* 4 (pow eps 4)) (pow eps 4))))))) |
(* -1 eps) |
(- x eps) |
(- x eps) |
(- x eps) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
(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)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(/ -1 (pow eps 5)) |
(- (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5))) |
(- (* x (- (* x (- (* 4 (/ 1 (pow eps 7))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(- (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (* (+ (* 4 (pow eps 4)) (pow eps 4)) (- (* 4 (/ 1 (pow eps 7))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (pow eps 5))) (+ (* 5 (/ (+ (* -4 (pow eps 3)) (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 11))) (* 10 (/ 1 (pow eps 8))))))) (* 4 (/ 1 (pow eps 7)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow eps 9))) (* 5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (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)))))))))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))))))) (pow x 4)) |
(* (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))))))))) |
(* (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 (+ (* 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) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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 (+ (* 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 10) |
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* 4 (/ eps x)) (/ eps x)))))) |
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 16 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* (+ eps (* 4 eps)) (+ (* -4 eps) (* -1 eps))) (pow x 2)))))))))) |
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -4 (/ (pow eps 3) (pow x 3))) (+ (* -1 (/ eps x)) (+ (* -1 (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 16 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)) (+ (/ (* (+ eps (* 4 eps)) (+ (* -4 eps) (* -1 eps))) (pow x 2)) (+ (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 3)) (/ (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 3)))))))))))))))) |
x |
(* x (+ 1 (* -1 (/ eps x)))) |
(* x (+ 1 (* -1 (/ eps x)))) |
(* x (+ 1 (* -1 (/ eps x)))) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(/ 1 (pow x 5)) |
(/ (+ 1 (* -1 (/ (+ (* -4 eps) (* -1 eps)) x))) (pow x 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow x 2)))) (+ (* -4 (/ eps x)) (* -1 (/ eps x)))) (pow x 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -4 (pow eps 3)) (+ (* -1 (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* -1 (pow (+ (* -4 eps) (* -1 eps)) 2)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))) (* -1 (* (+ (* -4 eps) (* -1 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))))))) (pow x 3)))) (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow (+ (* -4 eps) (* -1 eps)) 2) (pow x 2))) (+ (* 2 (/ (pow eps 2) (pow x 2))) (* 8 (/ (pow eps 2) (pow x 2)))))))) (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (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)))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(* (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))) |
(* (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 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) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) eps)) |
(* 10 (/ (pow x 2) 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)))) |
(* (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 10) |
(* (pow x 10) (+ 1 (+ (* -1 (/ (+ eps (* 4 eps)) x)) (+ (* 4 (/ eps x)) (/ eps x))))) |
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -4 (/ (pow eps 2) x)) (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) x)) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x))))) x)))) |
(* (pow x 10) (+ 1 (* -1 (/ (+ (* -1 (+ eps (+ (* -1 (+ eps (* 4 eps))) (* 4 eps)))) (* -1 (/ (+ (* -1 (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (+ (* 4 (/ (pow eps 3) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) x) (+ (/ (* (+ eps (* 4 eps)) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x)))))) x))) x)))) |
x |
(* -1 (* x (- (/ eps x) 1))) |
(* -1 (* x (- (/ eps x) 1))) |
(* -1 (* x (- (/ eps x) 1))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(/ 1 (pow x 5)) |
(* -1 (/ (- (* -1 (/ (+ eps (* 4 eps)) x)) 1) (pow x 5))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5))) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (pow x 5)) |
(* -1 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))) eps (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)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x))) eps (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) eps)) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x))) eps (pow.f64 x #s(literal 4 binary64)))) eps) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
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(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
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(pow eps 5) |
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(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(pow eps 5) |
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(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(pow eps 5) |
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(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
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(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 5) |
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(pow eps 5) |
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(pow x 5) |
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(pow x 10) |
(pow.f64 x #s(literal 10 binary64)) |
(* (pow x 10) (+ 1 (+ (* -4 (/ eps x)) (+ (* -1 (/ eps x)) (+ (* 4 (/ eps x)) (/ eps x)))))) |
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x |
(* x (+ 1 (* -1 (/ eps x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps x)) x) |
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(* x (+ 1 (* -1 (/ eps x)))) |
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x |
(* x (+ 1 (/ eps x))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
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(* 10 (/ (pow x 2) (pow eps 2))) |
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(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
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(* -1 (pow x 5)) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(* -1 (/ (- (* -1 (/ (+ eps (* 4 eps)) x)) 1) (pow x 5))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -5 binary64) eps) x) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))) x)) (/ (pow (+ eps (* 4 eps)) 2) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5))) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 eps eps)) x) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x)) (*.f64 #s(literal -5 binary64) eps)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ eps (* 4 eps)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (+ (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (/ (* (+ eps (* 4 eps)) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) x))) (+ (* -1 (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))) x)) (* -1 (+ eps (* 4 eps)))) x)) 1) (pow x 5))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -5 binary64) eps) (/.f64 (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -10 binary64))) x) (fma.f64 (*.f64 #s(literal 5 binary64) eps) (/.f64 (*.f64 (*.f64 eps eps) #s(literal 10 binary64)) x) (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 6 binary64)) eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 4 binary64))) (neg.f64 x)))) (fma.f64 #s(literal 25 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -10 binary64)))) (neg.f64 x)) (*.f64 #s(literal -5 binary64) eps)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(* -1 (pow x 5)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
| 4 478× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 3 550× | lower-/.f32 |
| 3 542× | lower-/.f64 |
| 3 158× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 231 |
| 0 | 65 | 231 |
| 1 | 272 | 221 |
| 2 | 1881 | 213 |
| 0 | 8161 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 eps x) #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)) |
#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) |
(fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) |
(+.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)) |
(/.f64 (*.f64 (*.f64 x x) #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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) |
(-.f64 x eps) |
(+.f64 eps x) |
(*.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))) |
(/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(pow.f64 (-.f64 x eps) #s(literal -5 binary64)) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (neg.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 x #s(literal 10 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (pow.f64 x #s(literal 15 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))) (exp.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) (exp.f64 (log.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (-.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (-.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x eps)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 5 binary64)) (pow.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (pow.f64 (-.f64 eps x) #s(literal -1 binary64)) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 5 binary64)) (pow.f64 (pow.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 5 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 x eps) x (*.f64 eps eps)) #s(literal -1 binary64)) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (*.f64 (-.f64 x eps) (+.f64 x eps))) #s(literal 5 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) |
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(pow.f64 (exp.f64 #s(literal -5 binary64)) (log.f64 (-.f64 x eps))) |
(pow.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64)) #s(literal -5/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x eps) #s(literal -5 binary64)) |
(exp.f64 (fma.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64) (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x eps) #s(literal 2 binary64))) #s(literal -5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x eps) #s(literal -5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x eps)) #s(literal -5 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (neg.f64 (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 15 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 10 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 15 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64)))))) |
(neg.f64 (pow.f64 x #s(literal 5 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
Compiled 32 137 to 3 841 computations (88% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 258 | 8 | 1 266 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 261 | 14 | 1 275 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.1% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ▶ | 89.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
| 24.6% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps))) | |
| ▶ | 84.9% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| ▶ | 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
| ✓ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 89.3% | #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)))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 85.2% | #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)))) | |
| ▶ | 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 89.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) | |
| ▶ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
Compiled 363 to 279 computations (23.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| cost-diff | 704 | (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 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 (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 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))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
| 4 678× | lower-fma.f32 |
| 4 674× | lower-fma.f64 |
| 3 536× | lower-*.f32 |
| 3 522× | lower-*.f64 |
| 2 394× | lower-/.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 390 |
| 0 | 83 | 382 |
| 1 | 129 | 371 |
| 2 | 217 | 356 |
| 3 | 378 | 356 |
| 4 | 660 | 356 |
| 5 | 1000 | 346 |
| 6 | 1789 | 346 |
| 7 | 2669 | 346 |
| 8 | 3813 | 346 |
| 9 | 5456 | 346 |
| 10 | 6876 | 346 |
| 0 | 8073 | 346 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 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)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
#s(literal 1 binary64) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) |
(/.f64 #s(literal 1 binary64) (*.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 |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)) |
(-.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)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.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 |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (+.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (+.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) (pow.f64 eps #s(literal 4 binary64))) |
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) eps) |
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) |
#s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) x) |
(fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) |
(fma.f64 (/.f64 x eps) #s(literal 10 binary64) #s(literal 5 binary64)) |
#s(literal 10 binary64) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19140625 | (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) | |
| accuracy | 0.2578125 | (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) | |
| accuracy | 6.736159637756621 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) | |
| accuracy | 9.662774386529243 | (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0.05078125 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| accuracy | 0.05859375 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.45916890593100546 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) | |
| accuracy | 9.26169931457811 | #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) | |
| accuracy | 0 | (pow.f64 eps #s(literal 4 binary64)) | |
| accuracy | 0 | #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| accuracy | 0.02734375 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 6.830018942250204 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 9.50629568582445 | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.015625 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 0.07421875 | (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) | |
| accuracy | 0.45916890593100546 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) | |
| accuracy | 6.487045546771129 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 69.0ms | 99× | 1 | valid |
| 46.0ms | 137× | 0 | valid |
| 18.0ms | 20× | 2 | valid |
Compiled 272 to 47 computations (82.7% saved)
ival-pow: 39.0ms (37.3% of total)ival-mult: 21.0ms (20.1% of total)ival-div: 15.0ms (14.3% of total)adjust: 13.0ms (12.4% of total)ival-add: 12.0ms (11.5% of total)ival-sub: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ()) |
#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 #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))) (patch #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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 (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (patch (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) (patch (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 4 binary64)) (patch (pow.f64 eps #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow 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 (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow x 2) eps)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | eps | @ | -inf | ((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x)) |
| 4.0ms | eps | @ | inf | ((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x)) |
| 4.0ms | eps | @ | 0 | ((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x)) |
| 4.0ms | x | @ | -inf | ((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x)) |
| 4.0ms | x | @ | inf | ((/ 1 (/ 1 (- (pow (+ x eps) 5) (pow x 5)))) (- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (pow x 4)) (* 5 eps) (pow x 4) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (- (pow (+ x eps) 5) (pow x 5)) (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (/ 1 (- (pow (+ x eps) 5) (pow x 5))) (pow eps 4) (/ 1 (* (* 5 (pow x 4)) eps)) (* (+ (* 10 (/ x eps)) 5) x)) |
| 1× | egg-herbie |
| 10 812× | lower-fma.f64 |
| 10 812× | lower-fma.f32 |
| 6 080× | lower-*.f64 |
| 6 080× | lower-*.f32 |
| 4 902× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 10412 |
| 1 | 2057 | 9531 |
| 0 | 8290 | 8950 |
| 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)))) |
(* 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) |
(* 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 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ 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)))) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 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 x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 10 (/ (pow x 2) eps)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) 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 (+ (* 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) |
(* (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))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 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))))))))) |
(/ 1 (pow eps 5)) |
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(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)))))) |
(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))))))))) |
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))))) |
(* 5 (/ x eps)) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps) |
(/ 1 (pow eps 5)) |
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5)) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 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))) |
(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) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ 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))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* 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))) |
(/ 1 (pow eps 5)) |
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) 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))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps))) |
(* 5 (/ x eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)) |
(/ 1 (pow eps 5)) |
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(pow eps 4) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 5 x) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) eps))) |
(+ (* 5 x) (* 10 (/ (pow x 2) 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 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 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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow 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)) |
(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)) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(/ 1 (pow eps 5)) |
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5))) |
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (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 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)) (* 10 (* (pow eps 3) x)))) (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)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(+ 1 (* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps))))) |
(* 5 (/ x eps)) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(* x (+ (* 10 (/ x (pow eps 2))) (* 5 (/ 1 eps)))) |
(/ 1 (pow eps 5)) |
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5))) |
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 5 x) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ x eps)))) |
(* x (+ 5 (* 10 (/ 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)))))))))) |
(* (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 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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (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 (* (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) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ 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)))))))))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 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 x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (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)))))))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))))))) (pow x 4)) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 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)))) |
(* (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 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))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* (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 (* (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) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps 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)))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 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)))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(/ 1/5 (* eps (pow x 4))) |
(* 10 (/ (pow x 2) eps)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
| 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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) |
(* 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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) |
(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 (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 (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 (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 (pow.f64 x #s(literal 5 binary64))) |
x |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.f64 x eps) |
(+ eps x) |
(+.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)))) |
(*.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 (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)) (* 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 (* 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 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (* (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) |
(*.f64 #s(literal 5 binary64) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* eps (+ (* 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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
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(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
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(* 5 (* eps (pow x 4))) |
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1 |
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(* 5 x) |
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1 |
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(/ 1/5 (* eps (pow x 4))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
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(* (pow x 4) (+ eps (* 4 eps))) |
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(pow x 5) |
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x |
(* x (+ 1 (/ eps x))) |
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(* x (+ 1 (/ eps x))) |
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(* x (+ 1 (/ eps x))) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
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(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
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(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
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(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
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(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(*.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 5 binary64)) x)) x) |
(* 5 x) |
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(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
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(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
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x |
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(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(* (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 -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 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 #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 (neg.f64 (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)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) (/.f64 #s(literal 10 binary64) (*.f64 eps eps))) x) x) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) x) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 5 binary64) eps) x)) x) x) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (*.f64 eps (/.f64 eps (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (*.f64 (*.f64 eps (/.f64 eps (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (/.f64 #s(literal 6 binary64) x)))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) (*.f64 x eps)) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (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)))) (*.f64 x eps)) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) #s(literal 5 binary64)) (*.f64 x eps)) (/.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))))) (neg.f64 x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ 1/5 (* eps (pow x 4))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ 1/5 (* eps (pow x 4))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ 1/5 (* eps (pow x 4))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ 1/5 (* eps (pow x 4))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x) |
(* (pow x 2) (+ (* 10 (/ 1 eps)) (* 5 (/ 1 x)))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 10 binary64) eps)) x) x) |
| 5 180× | lower-fma.f32 |
| 5 176× | lower-fma.f64 |
| 5 046× | lower-*.f32 |
| 5 032× | lower-*.f64 |
| 4 334× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 329 |
| 0 | 83 | 321 |
| 1 | 322 | 311 |
| 2 | 1888 | 299 |
| 0 | 9182 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 5 binary64) eps) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) x eps) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)))) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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))) |
(*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) |
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) |
(pow.f64 eps #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))))) |
(*.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 10 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 15 binary64)) (pow.f64 x #s(literal 15 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (+.f64 eps x) #s(literal 10 binary64))) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 50 binary64) (/.f64 x (/.f64 eps (*.f64 x x)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 50 binary64) (/.f64 x (/.f64 eps (*.f64 x x))))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) (-.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) (*.f64 #s(literal 25 binary64) (*.f64 x x))) (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64)) (pow.f64 eps #s(literal -3 binary64)) (*.f64 #s(literal 125 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) x) #s(literal -1 binary64)) (/.f64 x eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 eps #s(literal -10 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal -1/10 binary64) (/.f64 eps x)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 #s(literal -10 binary64) eps) (/.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (*.f64 #s(literal -10 binary64) (/.f64 x eps)) (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -10 binary64) (/.f64 x eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 #s(literal 10 binary64) eps) (*.f64 x x) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) #s(literal -1 binary64) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (pow.f64 (pow.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal -10 binary64) (*.f64 x x)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (/.f64 x eps) (/.f64 (*.f64 #s(literal -10 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 10 binary64) (pow.f64 (/.f64 eps (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 10 binary64) (/.f64 (*.f64 x x) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 x x) (neg.f64 eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal -10 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 10 binary64) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(fma.f64 #s(literal 5 binary64) x (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) |
(fma.f64 x (*.f64 (*.f64 #s(literal -10 binary64) x) (/.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 10 binary64) eps)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 x (*.f64 (/.f64 x eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(fma.f64 x #s(literal 5 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(-.f64 (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x))) (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)))) (/.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (/.f64 (*.f64 x x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))))) |
(-.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) eps)) |
(+.f64 (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x) (*.f64 #s(literal 5 binary64) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) x)) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (*.f64 (/.f64 x eps) #s(literal 10 binary64)) x)) |
(+.f64 (*.f64 #s(literal 5 binary64) x) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 10 binary64))) |
Compiled 26 390 to 3 378 computations (87.2% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 163 | 8 | 1 171 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 169 | 16 | 1 185 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.1% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | 89.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
| ▶ | 84.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) | |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) | |
| ✓ | 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
| ▶ | 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 85.2% | #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)))) | |
| ✓ | 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| ▶ | 89.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
| 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) | |
| ▶ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
| ▶ | 89.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
Compiled 347 to 264 computations (23.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) | |
| cost-diff | 832 | (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) | |
| cost-diff | 0 | #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) x eps) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) | |
| cost-diff | 0 | #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
| 6 380× | lower-fma.f32 |
| 6 376× | lower-fma.f64 |
| 4 004× | lower-*.f32 |
| 3 976× | lower-*.f64 |
| 2 632× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 482 |
| 0 | 87 | 479 |
| 1 | 154 | 451 |
| 2 | 322 | 419 |
| 3 | 762 | 419 |
| 4 | 1636 | 419 |
| 5 | 2421 | 395 |
| 6 | 4249 | 391 |
| 0 | 8038 | 381 |
| 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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps eps) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(literal 1 binary64) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) |
#s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps))) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x eps)) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
eps |
(pow.f64 eps #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#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) eps) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
eps |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 x x) |
x |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) eps) |
(fma.f64 #s(literal 5 binary64) x eps) |
#s(literal 5 binary64) |
x |
eps |
(*.f64 eps eps) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
(/.f64 (/.f64 #s(literal 1/5 binary64) eps) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)))) |
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps))) |
#s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) |
#s(approx (+ (* 5 x) eps) (fma.f64 #s(literal 5 binary64) x eps)) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
(-.f64 (/.f64 eps x) #s(literal -5 binary64)) |
(/.f64 eps x) |
eps |
x |
#s(literal 5 binary64) |
(pow.f64 eps #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (/.f64 eps x) #s(literal 5 binary64)) | |
| accuracy | 0.02734375 | (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) | |
| accuracy | 0.1171875 | (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) | |
| accuracy | 6.830018942250204 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) | |
| accuracy | 0.13738251953688402 | (*.f64 (*.f64 x x) #s(literal 5 binary64)) | |
| accuracy | 0.45916890593100546 | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) | |
| accuracy | 9.26169931457811 | #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) | |
| accuracy | 0 | #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) | |
| accuracy | 0.08984375 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) | |
| accuracy | 6.830018942250204 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) | |
| accuracy | 0 | (*.f64 #s(literal 5 binary64) eps) | |
| accuracy | 0.04296875 | (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 9.50629568582445 | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 0.05078125 | (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) | |
| accuracy | 0.10775375976844201 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) | |
| accuracy | 6.736159637756621 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
| 83.0ms | 93× | 1 | valid |
| 81.0ms | 142× | 0 | valid |
| 31.0ms | 21× | 2 | valid |
Compiled 302 to 55 computations (81.8% saved)
ival-mult: 48.0ms (33% of total)ival-pow: 38.0ms (26.1% of total)ival-div: 25.0ms (17.2% of total)ival-add: 14.0ms (9.6% of total)adjust: 13.0ms (8.9% of total)ival-sub: 5.0ms (3.4% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% 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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) (patch #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) (patch (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) (patch (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 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)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) (patch #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5 (* eps x)) (* 10 (pow x 2))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (patch (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (*.f64 #s(literal 5 binary64) eps) (patch (*.f64 #s(literal 5 binary64) 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 2) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 x) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps (* 5 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps (* 5 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps (* 5 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) x eps) (patch (fma.f64 #s(literal 5 binary64) x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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 (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) #<representation binary64>) () ())) ()) |
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#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) (patch #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) (patch (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) (patch (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) (patch (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) (patch (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 5 (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5 (/ eps x)) (taylor -inf x) (#s(alt (+.f64 (/.f64 eps x) #s(literal 5 binary64)) (patch (+.f64 (/.f64 eps x) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5)) |
| 8.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5)) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5)) |
| 3.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5)) |
| 3.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (* x x) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (* (* 5 eps) (* (* x x) (* x x))) (* 5 eps) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (* eps eps)) (+ (* 5 x) eps) (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (* (* (* x x) (* (* x x) 5)) eps) (* (+ (/ eps x) 5) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (* (+ (* 5 x) eps) (pow eps 4)) (* (+ (* 5 x) eps) eps) (* (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (pow eps 3)) (* (* x x) (* x x)) (* (* (+ (* 5 x) eps) (* eps eps)) (* eps eps)) (* (* x x) 5) (* (* x x) (* (* x x) 5)) (+ (/ eps x) 5)) |
| 1× | egg-herbie |
| 10 360× | lower-fma.f64 |
| 10 360× | lower-fma.f32 |
| 6 028× | lower-*.f64 |
| 6 028× | lower-*.f32 |
| 4 632× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 570 | 8338 |
| 1 | 1995 | 7775 |
| 0 | 8099 | 7272 |
| 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 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* 10 (pow x 2)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(+ (* 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))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ 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))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ 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)))) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 x) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ 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 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (* eps x)) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
5 |
(+ 5 (/ eps x)) |
(+ 5 (/ eps x)) |
(+ 5 (/ 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 (* 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)))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (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))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 3) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 3) (+ 1 (* 5 (/ x eps)))) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 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))))))))) |
(/ 1 (pow eps 5)) |
(/ (+ 1 (* -1 (/ (+ x (* 4 x)) eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (pow eps 2)))) (+ (* 4 (/ x eps)) (/ x eps))) (pow eps 5)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* 4 x)) (+ (* -1 (pow (+ x (* 4 x)) 2)) (+ (* 2 (pow x 2)) (* 8 (pow x 2)))))) (+ (* -1 (* (+ x (* 4 x)) (+ (* 2 (pow x 2)) (* 8 (pow x 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow eps 3)))) (+ (* -1 (/ (pow (+ x (* 4 x)) 2) (pow eps 2))) (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
eps |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 1 (* 5 (/ x eps)))) |
(* eps (+ 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)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(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)))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(/ eps x) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 x)) eps)))) |
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -10 (/ (pow x 2) eps)) (* -5 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))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 eps) |
(* 5 eps) |
(* 5 eps) |
(* 5 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) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -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))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* 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))) |
(/ 1 (pow eps 5)) |
(* -1 (/ (- (+ (* 4 (/ x eps)) (/ x eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow x 2) eps)) (+ (* -1 (/ (+ (* 2 (pow x 2)) (* 4 (pow x 2))) eps)) (/ (pow (+ x (* 4 x)) 2) eps))) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow x 3) eps)) (+ (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) eps) (+ (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) eps) (/ (* (+ x (* 4 x)) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)))) (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ x (* 4 x)) 2)))) eps)) (+ x (* 4 x))) eps)) 1) (pow eps 5))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
eps |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* eps (- (* -5 (/ x eps)) 1))) |
(* -1 (* 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) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ 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))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ 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 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) 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))) |
(/ eps x) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* eps (+ (* 5 (/ 1 eps)) (/ 1 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)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(+ (* x (+ (* 5 eps) (* 10 x))) (pow eps 2)) |
(pow x 2) |
(pow x 2) |
(pow x 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)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow 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)) |
(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)) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(/ 1 (pow eps 5)) |
(+ (* -5 (/ x (pow eps 6))) (/ 1 (pow eps 5))) |
(+ (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -5 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (pow eps 11))) (+ (* -1 (/ (* (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))) (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))) (* 10 (/ 1 (pow eps 8))))))) (+ (* -5 (/ (+ (* 4 (pow eps 4)) (pow eps 4)) (pow eps 11))) (* 10 (/ 1 (pow eps 7)))))) (* 5 (/ 1 (pow eps 6))))) (/ 1 (pow eps 5))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
eps |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(+ eps (* 5 x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow 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)) |
(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)) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(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)) (* 10 (* (pow eps 3) x)))) (pow eps 5)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(/ eps x) |
(/ (+ eps (* 5 x)) x) |
(/ (+ eps (* 5 x)) x) |
(/ (+ eps (* 5 x)) 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 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(* (pow x 2) (+ 10 (+ (* 5 (/ eps x)) (/ (pow eps 2) (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 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))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* (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 (* (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))) |
(* 5 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ 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)))))))))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -1 (/ (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (pow x 2))) (/ 1 (+ eps (* 4 eps)))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))) (/ (pow eps 4) (pow (+ eps (* 4 eps)) 2))))) (pow x 3))) (/ 1 (+ eps (* 4 eps)))) (+ (* -1 (/ (* (+ (* 2 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* 8 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 2 (pow eps 2)) (* 8 (pow eps 2)))) (* (pow x 2) (+ eps (* 4 eps))))) (+ (* 2 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (/ (pow eps 3) (* (pow x 2) (pow (+ eps (* 4 eps)) 2)))) (+ (* 8 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* (pow x 2) (pow (+ eps (* 4 eps)) 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 x) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ eps x))) |
(* x (+ 5 (/ 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 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (* (pow eps 4) x)) |
(* 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 (* eps x)) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
5 |
(+ 5 (/ eps x)) |
(+ 5 (/ eps x)) |
(+ 5 (/ eps 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 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* 10 (pow x 2)) |
(* (pow x 2) (+ 10 (* 5 (/ eps x)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 10 (* -1 (/ (+ (* -5 eps) (* -1 (/ (pow eps 2) x))) x)))) |
(pow x 2) |
(pow x 2) |
(pow x 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))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* (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 (* (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))))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps 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)))) |
(/ 1 (* (pow x 4) (+ eps (* 4 eps)))) |
(/ (+ (* -4 (/ (pow eps 2) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (* x (pow (+ eps (* 4 eps)) 2)))) (/ 1 (+ eps (* 4 eps))))) (pow x 4)) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* 4 (/ (pow eps 3) (* x (pow (+ eps (* 4 eps)) 2)))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (pow (+ eps (* 4 eps)) 2))))) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(* -1 (* x (- (* -1 (/ eps 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)))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (* (pow eps 4) x)) |
(* -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 (* eps x)) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 2)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
5 |
(+ 5 (/ eps x)) |
(+ 5 (/ eps x)) |
(+ 5 (/ eps x)) |
| Outputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) 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)) eps) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x) |
(* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 eps #s(literal 3 binary64))) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(+ (* 5 (* eps x)) (* 10 (pow x 2))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x)) x) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) |
(fma.f64 (fma.f64 #s(literal 5 binary64) x eps) eps (*.f64 #s(literal 10 binary64) (*.f64 x x))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) 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)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) 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)) 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 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) |
(* 5 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64)) |
(* (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) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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 (*.f64 (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) 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)) eps) |
(/ 1 (* eps (+ (* 4 (pow x 4)) (pow x 4)))) |
(/.f64 #s(literal 1/5 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) eps)) |
(/ (+ (* -1 (* eps (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(/ (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (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)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(/ (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* -1 (/ (* (+ (* 2 (pow x 2)) (* 8 (pow x 2))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2)))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 4 (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ x (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* -1 (/ (* (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (+ (* 4 (pow x 4)) (pow x 4)))) (+ (* 2 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (* 8 (/ (pow x 2) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))))) (+ (* 4 (/ (pow x 3) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow (+ (* 4 (pow x 4)) (pow x 4)) 2))))) (/ 1 (+ (* 4 (pow x 4)) (pow x 4)))) eps) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (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)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (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)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 10 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 5 binary64)))) eps (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (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)))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))) eps (/.f64 #s(literal 1/5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(+ eps (* 5 x)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (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 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.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)) 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)))) |
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(* 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))) |
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eps |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (* eps (pow x 4))) |
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eps |
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eps |
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(+ eps (* 5 x)) |
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
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(* 10 (* (pow eps 3) (pow x 2))) |
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(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (+ (* 10 (pow eps 3)) (/ (pow eps 5) (pow x 2))))) |
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(* 5 (* (pow eps 4) x)) |
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(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) (*.f64 x eps)) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2)))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (* x (+ eps (* 4 eps))))) (+ (* -1 (/ (* (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) (* x (+ eps (* 4 eps))))) (* -1 (/ (pow eps 4) (* x (pow (+ eps (* 4 eps)) 2))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2)))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (+ eps (* 4 eps)))) (+ (* 4 (/ (pow eps 3) (pow (+ eps (* 4 eps)) 2))) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow (+ eps (* 4 eps)) 2))))) x)) (+ (* -4 (/ (pow eps 2) (pow (+ eps (* 4 eps)) 2))) (* -1 (/ (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (pow (+ eps (* 4 eps)) 2))))) x)) (/ 1 (+ eps (* 4 eps)))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/5 binary64) eps) (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (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)))) (*.f64 x eps)) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64))) #s(literal 5 binary64)) (*.f64 x eps)) (/.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))))) (fma.f64 #s(literal -1/5 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 binary64)))) eps) (fma.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps)))))) (neg.f64 x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -6 binary64)) (*.f64 #s(literal 25 binary64) (*.f64 eps eps))))) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* 5 x) |
(*.f64 #s(literal 5 binary64) x) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -5 binary64))) |
(* -1 (* x (- (* -1 (/ eps x)) 5))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1 binary64) #s(literal -5 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal 5 binary64)) |
(* (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 -4 binary64) (*.f64 eps eps) (*.f64 (*.f64 eps eps) #s(literal -6 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 #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 (neg.f64 (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)))) x)))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* 5 (* eps x)) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) x) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) eps (/.f64 (*.f64 (neg.f64 eps) eps) x))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64)) x) |
(* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 (*.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))) x) x) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 5 (* (pow eps 4) x)) |
(*.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -5 binary64) (pow.f64 eps #s(literal 4 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (neg.f64 x)))) |
(* 5 (pow x 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
(* 5 (pow x 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
(* 5 (pow x 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
(* 5 (pow x 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 x x)) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
5 |
#s(literal 5 binary64) |
(+ 5 (/ eps x)) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
(+ 5 (/ eps x)) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
(+ 5 (/ eps x)) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
| 5 226× | lower-*.f32 |
| 5 198× | lower-*.f64 |
| 3 396× | lower-fma.f32 |
| 3 392× | lower-fma.f64 |
| 3 156× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 416 |
| 0 | 87 | 388 |
| 1 | 349 | 370 |
| 2 | 2177 | 366 |
| 0 | 8109 | 360 |
| 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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) |
(fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) |
(*.f64 x x) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 #s(literal 5 binary64) eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) |
(fma.f64 #s(literal 5 binary64) x eps) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps) |
(*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64)))) |
(*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)) |
(*.f64 (*.f64 x x) #s(literal 5 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(*.f64 (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (-.f64 (*.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 100 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (-.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1000 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(*.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))) (*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) #s(literal 25 binary64))) (*.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (-.f64 #s(literal 25 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))) (-.f64 #s(literal 5 binary64) (/.f64 eps x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64))) (neg.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))) |
(/.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (+.f64 #s(literal 25 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (/.f64 x eps)))) |
(/.f64 (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 eps x) #s(literal 5 binary64)) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 25 binary64)) (*.f64 (/.f64 eps x) #s(literal 5 binary64))) (+.f64 #s(literal 125 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 eps) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) eps #s(literal 5 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 eps (neg.f64 x)) #s(literal 5 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 eps x) #s(literal 5 binary64)) |
(fma.f64 (neg.f64 eps) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 5 binary64)) |
(fma.f64 eps (pow.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (-.f64 (/.f64 eps x) #s(literal 5 binary64))) (/.f64 #s(literal 25 binary64) (-.f64 (/.f64 eps x) #s(literal 5 binary64)))) |
(+.f64 (/.f64 eps x) #s(literal 5 binary64)) |
(+.f64 #s(literal 5 binary64) (/.f64 eps x)) |
Compiled 17 369 to 2 223 computations (87.2% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 926 | 8 | 934 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 930 | 20 | 950 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.1% | (fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
| ✓ | 89.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
| 84.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) | |
| ✓ | 89.8% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) | |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) | |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)) | |
| 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) | |
| ✓ | 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
| ✓ | 85.1% | #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 85.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)) | |
| 85.2% | #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)))) | |
| ✓ | 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| 89.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) | |
| 80.6% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) | |
| 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) | |
| ✓ | 89.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
| 74.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) | |
| 74.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
Compiled 749 to 380 computations (49.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)) |
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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 #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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 5 binary64)) (pow.f64 (-.f64 x eps) #s(literal -5 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) x) (pow.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))) eps))) |
| Outputs |
|---|
(-.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 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
3 calls:
| 93.0ms | x |
| 80.0ms | eps |
| 16.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
| 98.8% | 3 | eps |
| 99.5% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)) |
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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 #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 #s(approx (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) (*.f64 (fma.f64 #s(literal 10 binary64) (/.f64 x eps) #s(literal 5 binary64)) x)) 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 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) x (*.f64 #s(literal -10 binary64) (*.f64 x (/.f64 x eps)))) eps)) eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#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)))) |
2 calls:
| 41.0ms | x |
| 14.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
| 99.1% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)) |
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) (pow.f64 eps #s(literal 5 binary64))) |
2 calls:
| 39.0ms | x |
| 12.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 99.0% | 3 | x |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 3 binary64))) x)) |
#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)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 5 binary64)) x)) (pow.f64 eps #s(literal 4 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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)) (pow.f64 eps #s(literal 5 binary64))) |
1 calls:
| 34.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) 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) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 |
|---|---|---|
| 99.0% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) eps)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (- (pow (+ eps x) 5) (pow x 5)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
1 calls:
| 13.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
2 calls:
| 18.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.9% | 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 (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
2 calls:
| 23.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 98.9% | 3 | x |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) eps) x) x)) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
3 calls:
| 5.0ms | eps |
| 5.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 1 | eps |
| 85.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
3 calls:
| 5.0ms | x |
| 4.0ms | eps |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 1 | eps |
| 85.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
3 calls:
| 5.0ms | eps |
| 4.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 1 | eps |
| 85.1% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 85.1% | 1 | x |
Compiled 11 to 11 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 #s(approx (+ (* 5 x) eps) (*.f64 #s(literal 5 binary64) x)) (*.f64 eps eps)) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
3 calls:
| 3.0ms | eps |
| 3.0ms | x |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 1 | eps |
| 74.8% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 74.8% | 1 | x |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.417766368911014e-307 |
| 0.0ms | -4.44825e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.9090138953242548e-35 | 2.2691128265816953e-35 |
| 22.0ms | -1.2170081927326312e-49 | -1.489731863214075e-51 |
| 21.0ms | 139× | 1 | valid |
| 1.0ms | 21× | 0 | valid |
Compiled 254 to 217 computations (14.6% saved)
ival-pow: 11.0ms (63.8% of total)adjust: 3.0ms (17.4% of total)ival-add: 2.0ms (11.6% of total)ival-sub: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.417766368911014e-307 |
| 0.0ms | -4.44825e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.417766368911014e-307 |
| 0.0ms | -4.44825e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.417766368911014e-307 |
| 0.0ms | -4.44825e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.417766368911014e-307 |
| 0.0ms | -4.44825e-318 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9090138953242548e-35 | 2.2691128265816953e-35 |
| 1.0ms | -1.2170081927326312e-49 | -1.489731863214075e-51 |
Compiled 272 to 202 computations (25.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9090138953242548e-35 | 2.2691128265816953e-35 |
| 1.0ms | -1.2170081927326312e-49 | -1.489731863214075e-51 |
Compiled 272 to 202 computations (25.7% saved)
| 1× | egg-herbie |
| 58× | *-commutative-binary64-*.f64 |
| 18× | +-commutative-binary64-+.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 886 |
| 1 | 147 | 886 |
| 2 | 156 | 886 |
| 3 | 169 | 886 |
| 4 | 180 | 886 |
| 5 | 187 | 886 |
| 6 | 191 | 886 |
| 7 | 192 | 886 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 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)))) #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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #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 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)) (pow.f64 eps #s(literal 5 binary64))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 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)))) #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)))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 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)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (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 -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -809609/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 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 (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 5 binary64) x eps)))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))))) |
(if (<=.f64 x #s(literal -6318737500113431/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) (if (<=.f64 x #s(literal 7295816173555867/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 eps eps)) (*.f64 eps eps)))) #s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) #s(literal 5 binary64)) (*.f64 (*.f64 x x) eps))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) #s(literal 5 binary64)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 x x)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 #s(literal 5 binary64) eps) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (/ 1 (pow (- (pow (+ eps x) 5) (pow x 5)) -1)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 5 binary64) eps))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (*.f64 #s(approx (* (+ (* 5 x) eps) (* eps eps)) (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 5 binary64))) (*.f64 eps eps)))) |
| 19 244× | lower-fma.f64 |
| 19 244× | lower-fma.f32 |
| 10 812× | lower-fma.f64 |
| 10 812× | lower-fma.f32 |
| 10 360× | lower-fma.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 |
| 0 | 57 | 329 |
| 0 | 83 | 321 |
| 1 | 322 | 311 |
| 2 | 1888 | 299 |
| 0 | 9182 | 297 |
| 0 | 570 | 8338 |
| 1 | 1995 | 7775 |
| 0 | 8099 | 7272 |
| 0 | 999 | 10425 |
| 1 | 3500 | 10147 |
| 0 | 8433 | 9482 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 0 | 64 | 416 |
| 0 | 87 | 388 |
| 1 | 349 | 370 |
| 2 | 2177 | 366 |
| 0 | 8109 | 360 |
| 0 | 605 | 10412 |
| 1 | 2057 | 9531 |
| 0 | 8290 | 8950 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 204 to 625 computations (48.1% saved)
Compiled 958 to 192 computations (80% saved)
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