
Time bar (total: 8.9s)
| 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)
| 750.0ms | 6 769× | 0 | valid |
| 283.0ms | 1 191× | 1 | valid |
| 72.0ms | 296× | 2 | valid |
ival-pow: 509.0ms (57.9% of total)ival-<=: 148.0ms (16.8% of total)ival-sub: 66.0ms (7.5% of total)ival-add: 59.0ms (6.7% of total)adjust: 55.0ms (6.3% of total)ival-and: 21.0ms (2.4% of total)exact: 19.0ms (2.2% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 35 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 x #s(literal 5 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) | cancellation | 35 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 0 |
| - | 0 | 221 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 0 |
| - | 0 | 0 | 221 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 35 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 422× | 0 | valid |
| 23.0ms | 74× | 1 | valid |
| 8.0ms | 16× | 2 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-pow: 38.0ms (69.3% of total)ival-add: 6.0ms (10.9% of total)adjust: 5.0ms (9.1% of total)ival-sub: 5.0ms (9.1% of total)ival-true: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 88.3% | (-.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)
| 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))) |
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 | 0.01953125 | (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) | |
| accuracy | 7.461538305144356 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| 162.0ms | 211× | 0 | valid |
| 7.0ms | 37× | 1 | valid |
| 2.0ms | 8× | 2 | valid |
Compiled 25 to 9 computations (64% saved)
ival-pow: 11.0ms (69.6% of total)ival-add: 2.0ms (12.7% of total)adjust: 1.0ms (6.3% of total)ival-sub: 1.0ms (6.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5)) |
| 1× | egg-herbie |
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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 52 | 20 |
| 2 | 350 | 20 |
| 3 | 3545 | 20 |
| 0 | 9394 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(pow.f64 (+.f64 x eps) #s(literal 5 binary64)) |
(+.f64 x eps) |
(pow.f64 x #s(literal 5 binary64)) |
| Outputs |
|---|
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Compiled 10 014 to 1 248 computations (87.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 9 | 360 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 10 | 361 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 88.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ▶ | 87.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ▶ | 87.3% | #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)))) |
| ▶ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
| ▶ | 83.9% | #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)))) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) | |
| 79.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) | |
| ▶ | 79.1% | #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)))) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
Compiled 287 to 215 computations (25.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| cost-diff | 6656 | (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) | |
| cost-diff | 0 | #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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| cost-diff | 320 | (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | (/.f64 x eps) | |
| cost-diff | 0 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 376 |
| 0 | 74 | 376 |
| 1 | 124 | 361 |
| 2 | 256 | 343 |
| 3 | 656 | 343 |
| 4 | 1660 | 343 |
| 5 | 3290 | 343 |
| 6 | 7859 | 343 |
| 0 | 8204 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
#s(literal 1 binary64) |
(pow.f64 eps #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
eps |
#s(literal 5 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) eps) (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
#s(literal 5 binary64) |
eps |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 eps x) (*.f64 #s(literal 10 binary64) eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 binary64)) |
(*.f64 #s(literal -10 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(literal -10 binary64) |
(neg.f64 x) |
x |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.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 (/.f64 #s(literal 10 binary64) eps) x #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 (/.f64 #s(literal 10 binary64) eps) x #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 (/.f64 #s(literal 10 binary64) eps) x #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 (/.f64 #s(literal 10 binary64) eps) x #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 (/.f64 #s(literal 10 binary64) eps) x #s(literal 5 binary64)) x) |
#s(literal 5 binary64) |
x |
(/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) |
(*.f64 (*.f64 (/.f64 #s(literal 10 binary64) eps) x) x) |
(*.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)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) eps) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
(*.f64 (*.f64 #s(literal 10 binary64) (+.f64 eps x)) (*.f64 x x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
eps |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) | |
| accuracy | 0.1015625 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) | |
| accuracy | 0.14771008277819153 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) | |
| accuracy | 0.26171875 | (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) | |
| accuracy | 7.940478049993526 | #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 | 8.576812290203323 | (*.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 | 13.926999054998712 | (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps)) | |
| accuracy | 0.0546875 | (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.18263627930532605 | (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) | |
| accuracy | 10.255308906006725 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 14.098649567737377 | (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) | |
| accuracy | 0 | (pow.f64 eps #s(literal 5 binary64)) | |
| accuracy | 8.285965916845045 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 0 | (/.f64 x eps) | |
| accuracy | 0.12109375 | (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.2699933483541321 | (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) | |
| accuracy | 8.11100102675305 | #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)))) |
| 67.0ms | 195× | 0 | valid |
| 32.0ms | 47× | 1 | valid |
| 30.0ms | 14× | 2 | valid |
Compiled 319 to 45 computations (85.9% saved)
ival-pow: 40.0ms (41.8% of total)ival-mult: 27.0ms (28.2% of total)ival-add: 10.0ms (10.5% of total)ival-div: 8.0ms (8.4% of total)adjust: 6.0ms (6.3% of total)ival-neg: 2.0ms (2.1% of total)ival-sub: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #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 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (patch (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) #<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 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* (pow eps 4) x)) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 4) (+ eps (* 5 x))) (taylor 0 eps) (#s(alt (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) (patch (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (/ x eps)) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ eps (* 5 x)) eps) (taylor 0 eps) (#s(alt (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#s(alt (/ x eps) (taylor 0 eps) (#s(alt (/.f64 x eps) (patch (/.f64 x eps) #<representation binary64>) () ())) ()) |
#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 (* 5 eps) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (/ (pow eps 2) x)) (taylor 0 eps) (#s(alt (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) (patch (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor -inf x) (#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 (* (pow x 2) (+ (* 5 (/ (pow eps 4) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#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 (* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) (taylor -inf x) (#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 (* 10 (/ (pow x 2) (pow eps 2))) (taylor -inf x) (#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 x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#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 x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#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 x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) (taylor -inf x) (#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 (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 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)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10)) |
| 6.0ms | x | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 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)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10)) |
| 6.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 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)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10)) |
| 5.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 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)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10)) |
| 5.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (+ (* (/ x eps) 5) 1) (pow eps 5)) (+ (* (/ x eps) 5) 1) (/ x eps) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (+ (* 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)) (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* eps eps) -10) (* (+ (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) 1) (pow eps 5)) (/ (+ (* 5 x) (/ (* (* x x) -10) (neg eps))) eps) (* 10 (* x x)) (* (pow x 3) 10)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 7141 |
| 1 | 1410 | 6685 |
| 2 | 4795 | 5933 |
| 3 | 7880 | 5933 |
| 0 | 8387 | 5594 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* (pow eps 4) x)) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(* 5 (/ x eps)) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ (+ eps (* 5 x)) eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 10 (/ (pow x 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)))) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* 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)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 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))))))))) |
(* 10 (* eps (pow x 2))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 5) (+ 1 (+ (* 5 (/ x eps)) (* 10 (/ (pow x 2) (pow eps 2)))))) |
(* 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) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(pow eps 5) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 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))) |
(* 10 (* eps (pow x 2))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(* -10 (pow eps 2)) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 5 x) (* 10 (/ (pow x 2) eps))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ (* 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)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow eps 5) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
(+ (* 5 (* (pow eps 4) x)) (pow eps 5)) |
1 |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(+ 1 (* 5 (/ x eps))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 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)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(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)))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* (pow eps 4) x)) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 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)))))))))) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* (pow 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))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* (pow eps 4) x)) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))))) |
(* 5 (/ x eps)) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(* x (+ (* 5 (/ 1 eps)) (/ 1 x))) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(/ x eps) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* 10 (/ (pow eps 2) x)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 10 (/ (pow x 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)))) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 10 (* (pow 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))))) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
(* 10 (pow x 3)) |
| 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* (pow eps 4) (+ eps (* 5 x))) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) |
(* 5 (/ x eps)) |
(*.f64 (/.f64 x eps) #s(literal 5 binary64)) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ (+ eps (* 5 x)) eps) |
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(/ x eps) |
(/.f64 x eps) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(pow eps 5) |
(pow.f64 eps #s(literal 5 binary64)) |
(* 5 eps) |
(*.f64 #s(literal 5 binary64) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64)) |
(* 10 (/ (pow eps 2) x)) |
(*.f64 (*.f64 (/.f64 eps x) eps) #s(literal 10 binary64)) |
(* 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) eps) |
(/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 x eps) x) eps) #s(literal 10 binary64)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow x 2))) (pow eps 2)) |
(/.f64 (/.f64 (*.f64 x (fma.f64 #s(literal 10 binary64) x (*.f64 #s(literal 5 binary64) eps))) eps) eps) |
(/ (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x)))) (pow eps 2)) |
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(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #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) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 x eps) x) eps) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 10 (/ 1 (pow eps 2))) (+ (/ 1 (pow x 2)) (/ 5 (* eps x))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x #s(literal 1 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(* 10 (/ (pow x 2) eps)) |
(*.f64 (*.f64 (/.f64 x eps) x) #s(literal 10 binary64)) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.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 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.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 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps eps (/.f64 (pow.f64 eps #s(literal 3 binary64)) x)) x) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 eps x) eps eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 eps x) eps eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 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 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x))) x)) (* 10 (pow eps 3)))) |
(*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) x) #s(literal 10 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64))) x))) |
(* 10 (/ (pow x 2) (pow eps 2))) |
(*.f64 (/.f64 (*.f64 (/.f64 x eps) x) eps) #s(literal 10 binary64)) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* (pow x 2) (+ (* 5 (/ 1 (* eps x))) (* 10 (/ 1 (pow eps 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x eps) eps) #s(literal 10 binary64) (/.f64 #s(literal 5 binary64) eps)) x) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 307 |
| 0 | 74 | 307 |
| 1 | 269 | 293 |
| 2 | 2019 | 293 |
| 0 | 8391 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64))) |
(fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) |
(/.f64 x eps) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
(pow.f64 eps #s(literal 5 binary64)) |
(fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #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 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps) |
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) |
(*.f64 (*.f64 eps eps) #s(literal -10 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 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) |
| Outputs |
|---|
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Compiled 22 455 to 2 722 computations (87.9% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 022 | 9 | 1 031 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 027 | 14 | 1 041 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 88.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 87.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 87.3% | #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)))) |
| 87.3% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) | |
| ▶ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
| ▶ | 83.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
| ▶ | 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) | |
| ▶ | 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
| ▶ | 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) | |
| 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 322 to 255 computations (20.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| cost-diff | 0 | (/.f64 #s(literal 10 binary64) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) | |
| cost-diff | 0 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) | |
| cost-diff | 0 | (pow.f64 eps #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 475 |
| 0 | 79 | 475 |
| 1 | 147 | 443 |
| 2 | 340 | 439 |
| 3 | 766 | 439 |
| 4 | 1463 | 437 |
| 5 | 1906 | 437 |
| 6 | 2609 | 437 |
| 7 | 4728 | 437 |
| 8 | 5262 | 437 |
| 9 | 5787 | 437 |
| 10 | 6363 | 437 |
| 11 | 6514 | 437 |
| 12 | 6587 | 437 |
| 0 | 8773 | 421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(*.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))) |
(pow.f64 eps #s(literal 3 binary64)) |
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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 x eps) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) |
(/.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
(*.f64 eps eps) |
eps |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.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))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(pow.f64 eps #s(literal 3 binary64)) |
eps |
#s(literal 3 binary64) |
(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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) |
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps x) eps) x) #s(literal 10 binary64)) x) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 #s(literal 10 binary64) x)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
#s(literal 10 binary64) |
(*.f64 x x) |
x |
(+.f64 x eps) |
(+.f64 eps x) |
eps |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (*.f64 eps x)) |
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64)) eps) |
(/.f64 #s(literal 10 binary64) x) |
#s(literal 10 binary64) |
x |
(*.f64 eps eps) |
eps |
(*.f64 #s(literal 5 binary64) eps) |
#s(literal 5 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
eps |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.02734375 | (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) | |
| accuracy | 0.0703125 | (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 10.346554698412422 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 3.360269517758126 | (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) | |
| accuracy | 7.883443277777104 | (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) | |
| accuracy | 10.255308906006725 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| accuracy | 0.09375 | (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) | |
| accuracy | 0.14771008277819153 | (*.f64 #s(literal 10 binary64) (*.f64 x x)) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) | |
| accuracy | 14.590077054398291 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 x eps) eps) | |
| accuracy | 0.1138113643988453 | (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) | |
| accuracy | 14.716395378596571 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) | |
| accuracy | 0.0859375 | (*.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))) | |
| accuracy | 0.12589382300974955 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) | |
| accuracy | 7.940478049993526 | #s(approx (- (pow (+ x eps) 5) (pow x 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)))) |
| 131.0ms | 45× | 1 | valid |
| 101.0ms | 200× | 0 | valid |
| 8.0ms | 11× | 2 | valid |
Compiled 329 to 43 computations (86.9% saved)
ival-pow: 128.0ms (59.9% of total)ival-mult: 68.0ms (31.8% of total)ival-add: 8.0ms (3.7% of total)adjust: 5.0ms (2.3% of total)ival-div: 2.0ms (0.9% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 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)))) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) (patch (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (patch (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (patch (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 10 binary64) x) (patch (/.f64 #s(literal 10 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) (patch (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (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 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (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)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 3) (pow x 2))) (taylor 0 eps) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) (taylor 0 eps) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (pow.f64 eps #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow eps 3) (taylor 0 eps) (#s(alt (pow.f64 eps #s(literal 3 binary64)) (patch (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>) () ())) ()) |
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#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* 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 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* (pow eps 2) x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) eps) (patch (*.f64 (*.f64 x eps) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal 10 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 10 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) (patch (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x))) |
| 7.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x))) |
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x))) |
| 4.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x))) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (pow eps 3) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* (* x eps) eps) 10) x) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (* 10 (* x x)) (+ x eps)) eps) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (- (pow (+ x eps) 5) (pow x 5)) (/ 10 x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (* (+ (* 5 x) eps) eps) (* (* (* x eps) eps) 10) (* (* x eps) eps) (* 10 (* x x)) (* (* 10 (* x x)) (+ x eps)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 8300 |
| 1 | 1450 | 7757 |
| 2 | 5041 | 6910 |
| 0 | 8224 | 6567 |
| 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))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(* 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))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* 5 eps) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ eps x)))) |
(* eps (+ 5 (* 10 (/ 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)))) |
(* 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 x)) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 3)) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(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 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(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))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 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))))))))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps (pow x 2))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow 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 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(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))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 10 (/ (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x)))) |
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 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) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps (pow x 2))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(pow 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 eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (/ (pow eps 2) x)) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(/ 10 x) |
(/ 10 x) |
(/ 10 x) |
(/ 10 x) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* (pow x 2) (+ (* 10 eps) (* 10 x))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (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 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(/ 10 x) |
(/ 10 x) |
(/ 10 x) |
(/ 10 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))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 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 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 10 (* 10 (/ eps x)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ 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 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 eps) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(+ (* 5 eps) (* 10 (/ (pow eps 2) x))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(/ 10 x) |
(/ 10 x) |
(/ 10 x) |
(/ 10 x) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (* eps (pow x 4))) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(* 5 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 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 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
| 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #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 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 eps #s(literal 3 binary64)) x) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
(* (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))) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(pow eps 3) |
(pow.f64 eps #s(literal 3 binary64)) |
(pow eps 3) |
(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 #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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #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 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x) |
(* 10 (* (pow eps 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) x) |
(* 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #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 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
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(* (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 #s(literal -10 binary64) (*.f64 eps eps)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (*.f64 #s(literal -10 binary64) eps) eps (/.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 #s(literal -10 binary64) eps) eps (/.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) x) #s(literal 5 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 4)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* 10 (* (pow eps 2) x)) |
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 10 binary64)) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 3)) |
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10))) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 10 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 5 (* eps (pow x 4))) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 431 |
| 0 | 79 | 423 |
| 1 | 262 | 395 |
| 2 | 1677 | 395 |
| 0 | 8138 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(*.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))) |
(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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) |
(*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps) |
(*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
(/.f64 #s(literal 10 binary64) x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
(*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) |
(*.f64 (*.f64 x eps) eps) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) |
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
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Compiled 23 934 to 2 759 computations (88.5% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 027 | 14 | 1 041 |
| Fresh | 3 | 3 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 035 | 20 | 1 055 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 88.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 87.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| ✓ | 87.3% | #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)))) |
| 87.4% | #s(approx (- (pow (+ x eps) 5) (pow x 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)) | |
| 83.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) | |
| ▶ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
| 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) | |
| ▶ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
| ▶ | 72.0% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
| 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) | |
| ▶ | 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
| 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) | |
| 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) | |
| 72.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) | |
| ▶ | 83.7% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
| 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 530 to 395 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.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 | (*.f64 eps eps) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 657 |
| 0 | 96 | 657 |
| 1 | 180 | 627 |
| 2 | 388 | 609 |
| 3 | 876 | 609 |
| 4 | 1393 | 594 |
| 5 | 1685 | 594 |
| 6 | 1923 | 594 |
| 7 | 3890 | 594 |
| 8 | 4932 | 594 |
| 9 | 5228 | 594 |
| 10 | 5486 | 594 |
| 11 | 5606 | 594 |
| 12 | 5687 | 594 |
| 13 | 5988 | 594 |
| 14 | 6792 | 594 |
| 15 | 7085 | 594 |
| 16 | 7455 | 594 |
| 0 | 8055 | 591 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) |
(*.f64 (*.f64 eps eps) eps) |
(*.f64 eps eps) |
eps |
(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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) |
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 x eps) x) |
(*.f64 x eps) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) |
(*.f64 x (*.f64 (*.f64 eps x) eps)) |
x |
(*.f64 (*.f64 eps x) eps) |
(*.f64 eps x) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (+.f64 eps x) eps) |
(+.f64 eps x) |
eps |
x |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 eps (+.f64 x eps)) |
eps |
(+.f64 x eps) |
#s(literal 10 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (pow.f64 eps #s(literal 3 binary64))) |
(*.f64 (*.f64 eps eps) eps) |
(pow.f64 eps #s(literal 3 binary64)) |
(*.f64 eps eps) |
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) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) |
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x)) |
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) |
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) |
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x) |
(*.f64 (*.f64 x eps) x) |
(*.f64 (*.f64 eps x) x) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
#s(literal 5 binary64) |
(*.f64 x x) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 eps x) eps) #s(literal 10 binary64)) x) |
(*.f64 x (*.f64 (*.f64 eps x) eps)) |
(*.f64 (*.f64 (*.f64 eps x) eps) x) |
x |
(*.f64 (*.f64 eps x) eps) |
(*.f64 eps x) |
eps |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps))) |
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
(*.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps)) |
(*.f64 (+.f64 eps x) eps) |
(+.f64 eps x) |
eps |
x |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 x x) |
#s(literal 10 binary64) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x) |
(fma.f64 (*.f64 (+.f64 eps x) x) (*.f64 (*.f64 #s(literal 10 binary64) x) eps) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) |
(fma.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) |
(*.f64 #s(literal 5 binary64) x) |
#s(literal 5 binary64) |
x |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 eps x)) |
(*.f64 eps (+.f64 x eps)) |
(*.f64 (+.f64 eps x) eps) |
eps |
(+.f64 x eps) |
(+.f64 eps x) |
#s(literal 10 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) | |
| accuracy | 0.11328125 | (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) | |
| accuracy | 0.23696007069442185 | (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) | |
| accuracy | 0.08431625976844201 | (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) | |
| accuracy | 0.14771008277819153 | (*.f64 (*.f64 x x) #s(literal 10 binary64)) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) | |
| accuracy | 14.590077054398291 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) | |
| accuracy | 0.053296313241307514 | (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) | |
| accuracy | 0.0546875 | (*.f64 (*.f64 eps x) eps) | |
| accuracy | 10.126084536239835 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) | |
| accuracy | 14.716395378596571 | #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) | |
| accuracy | 0.0703125 | (*.f64 (*.f64 x eps) x) | |
| accuracy | 0.07945253907376808 | (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) | |
| accuracy | 9.591120562922946 | #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) | |
| accuracy | 10.255308906006725 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) | |
| accuracy | 0.12589382300974955 | (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) | |
| accuracy | 7.940478049993526 | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
| 137.0ms | 206× | 0 | valid |
| 42.0ms | 42× | 1 | valid |
| 7.0ms | 8× | 2 | valid |
Compiled 417 to 53 computations (87.3% saved)
ival-add: 56.0ms (36.1% of total)ival-mult: 56.0ms (36.1% of total)adjust: 20.0ms (12.9% of total)ival-pow: 19.0ms (12.3% of total)ival-div: 2.0ms (1.3% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ()) |
#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<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 #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) (patch (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (patch #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) (patch (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) (patch (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) (patch (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (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 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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)) (+ (* 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 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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)) (+ (* 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 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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)) (+ (* 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 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 eps 3) (pow x 2))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 5 (* eps x)) (* 10 (pow x 2)))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 3) (+ (* 10 (pow x 2)) (* eps (+ eps (* 5 x))))) (taylor 0 eps) (#s(alt (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) (patch (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) #<representation binary64>) () ())) ()) |
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#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (*.f64 eps eps) (patch (*.f64 eps eps) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) (patch #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) (patch (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* eps (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x eps) x) (patch (*.f64 (*.f64 x eps) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ()) |
#s(alt (* (pow eps 2) x) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps x) eps) (patch (*.f64 (*.f64 eps x) eps) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 10 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) (patch (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) (patch (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | eps | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10))) |
| 4.0ms | x | @ | -inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10))) |
| 4.0ms | eps | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10))) |
| 3.0ms | x | @ | inf | ((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10))) |
| 3.0ms | eps | @ | 0 | ((- (pow (+ x eps) 5) (pow x 5)) (* (* (* eps eps) eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps))) (* eps eps) (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* x x)) (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (* (* (* x eps) x) 5) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* x (* (* eps x) eps)) 10) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (* (+ eps x) eps) (* (* x x) 10)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (* (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) x) (* (+ (* 5 x) eps) eps) (* (* x eps) x) (* (* eps x) eps) (* (* x x) 10) (* (* eps (+ x eps)) 10) (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 9361 |
| 1 | 1590 | 8774 |
| 2 | 5572 | 7903 |
| 0 | 8123 | 7476 |
| 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))))) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(* 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))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 10 (* eps (pow x 3))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))) |
(* eps (+ (* 4 (pow x 4)) (pow x 4))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(* 5 (* eps (pow x 4))) |
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))) |
(* 5 (pow x 4)) |
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))) |
(* 5 (pow x 3)) |
(+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(+ (* 5 (pow x 3)) (* eps (+ (* 10 (* eps x)) (* 10 (pow x 2))))) |
(* 5 (* eps x)) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* eps (+ eps (* 5 x))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (* eps x)) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* eps (+ (* 10 eps) (* 10 x))) |
(* 5 (pow x 2)) |
(+ (* 5 (pow x 2)) (* 10 (* eps x))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(+ (* 5 (pow x 2)) (* eps (+ (* 10 eps) (* 10 x)))) |
(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) |
(pow eps 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))))))))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(pow eps 5) |
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) |
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 3) (pow eps 2))) (+ (* 10 x) (* 10 (/ (pow x 2) eps))))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(* (pow eps 2) (+ 10 (+ (* 5 (/ (pow x 2) (pow eps 2))) (* 10 (/ x eps))))) |
(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) |
(pow eps 2) |
(pow eps 2) |
(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))) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(pow eps 5) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) |
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2)))) |
(* 10 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 10 x) (* 10 (/ (pow x 2) eps)))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 2)) (* -5 (/ (pow x 3) eps))) eps)) (* 10 x))) |
(pow eps 2) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* (pow eps 2) (+ 1 (* 5 (/ x eps)))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* 10 (pow eps 2)) |
(* (pow eps 2) (+ 10 (* 10 (/ x eps)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(* (pow eps 2) (+ 10 (* -1 (/ (+ (* -10 x) (* -5 (/ (pow x 2) eps))) eps)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(pow 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 eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 2) (pow x 3))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(pow eps 5) |
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) |
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) |
(* 10 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3)))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* 10 (* (pow eps 2) x)) |
(* x (+ (* 10 (* eps x)) (* 10 (pow eps 2)))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(* x (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps))))) |
(pow eps 2) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(+ (* 5 (* eps x)) (pow eps 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(* 10 (pow eps 2)) |
(+ (* 10 (* eps x)) (* 10 (pow eps 2))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))) |
(* (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 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 10 (* eps (pow x 3))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 3) (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) |
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2)))))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (pow x 3)) |
(* (pow x 3) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 3) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* 5 (* eps x)) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* x (+ (* 5 eps) (/ (pow eps 2) x))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (* eps x)) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* x (+ (* 10 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (pow x 2) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2)))))) |
(* (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 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* 5 (* eps (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* 10 (* (pow eps 2) (pow x 2))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 10 (* eps (pow x 3))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* (pow x 3) (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* (pow x 4) (+ eps (* 4 eps))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) |
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) |
(* 5 (* eps (pow x 4))) |
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps))) |
(* 5 (pow x 4)) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* 5 (pow x 3)) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(* 5 (* 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))))) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* eps (pow x 2)) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* (pow eps 2) x) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (pow x 2)) |
(* 10 (* eps x)) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(* 5 (pow x 2)) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
| 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 10 binary64) x) (*.f64 x (+.f64 x eps))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps) |
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) |
(*.f64 (fma.f64 #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 (*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 eps #s(literal 3 binary64)) x) (fma.f64 #s(literal 5 binary64) eps (*.f64 #s(literal 10 binary64) x))) |
(* (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))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (pow x 4)) |
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(* 10 (* eps (pow x 3))) |
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(* 5 (* eps (pow x 4))) |
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(* 5 (pow x 4)) |
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(* 5 (pow x 3)) |
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(* 5 (* eps x)) |
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(* 5 (* eps (pow x 4))) |
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(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 5 (pow x 3)) |
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -10 (/ eps x)) 5))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 eps x) #s(literal -10 binary64) #s(literal -5 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* 10 eps) (* 10 (/ (pow eps 2) x))) x)) 5))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 5 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 5 binary64)) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* -1 (* x (+ (* -5 eps) (* -1 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x eps) x) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x eps) x) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x eps) x) |
(* eps (pow x 2)) |
(*.f64 (*.f64 x eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* (pow eps 2) x) |
(*.f64 (*.f64 eps eps) x) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (pow x 2)) |
(*.f64 #s(literal 10 binary64) (*.f64 x x)) |
(* 10 (* eps x)) |
(*.f64 (*.f64 x eps) #s(literal 10 binary64)) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* -1 (* x (+ (* -10 eps) (* -10 (/ (pow eps 2) x))))) |
(*.f64 (*.f64 (fma.f64 eps (/.f64 eps x) eps) #s(literal 10 binary64)) x) |
(* 5 (pow x 2)) |
(*.f64 (*.f64 #s(literal 5 binary64) x) x) |
(* (pow x 2) (+ 5 (* 10 (/ eps x)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 eps (/.f64 eps x) eps) x) #s(literal 10 binary64) #s(literal 5 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 574 |
| 0 | 96 | 570 |
| 1 | 312 | 546 |
| 2 | 1984 | 538 |
| 0 | 8384 | 517 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
(*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))) |
(*.f64 eps eps) |
(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 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
(*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x)) |
#s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) |
(*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) |
(*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) |
(*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
(*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps) |
#s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) |
(*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) |
(*.f64 (*.f64 x eps) x) |
(*.f64 (*.f64 eps x) eps) |
(*.f64 (*.f64 x x) #s(literal 10 binary64)) |
(*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64)) |
(fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) |
| Outputs |
|---|
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Compiled 19 587 to 2 112 computations (89.2% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 886 | 13 | 899 |
| Fresh | 10 | 2 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 900 | 19 | 919 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) | |
| ✓ | 88.3% | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| ✓ | 87.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) |
| 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) | |
| ✓ | 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
| 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) | |
| 87.2% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) | |
| 73.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) | |
| 86.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) | |
| ✓ | 84.1% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) | |
| 77.4% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) eps)) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) | |
| 83.8% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) | |
| 87.5% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) | |
| 83.9% | #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 1 004 to 480 computations (52.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (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)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(-.f64 (pow.f64 (pow.f64 (+.f64 eps x) #s(literal 5/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
3 calls:
| 15.0ms | eps |
| 12.0ms | x |
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 97.7% | 3 | eps |
| 99.2% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (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)))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
1 calls:
| 13.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))) |
1 calls:
| 10.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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)))) |
1 calls:
| 43.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 (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 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 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 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
1 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
1 calls:
| 9.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 eps (+.f64 x eps)) #s(literal 10 binary64))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) (fma.f64 (*.f64 #s(literal 5 binary64) x) eps (*.f64 eps eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (*.f64 eps (fma.f64 (/.f64 #s(literal 10 binary64) x) eps #s(literal 5 binary64))) x) x) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (*.f64 eps eps) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 #s(literal 10 binary64) (*.f64 x x) #s(approx (* (+ (* 5 x) eps) eps) (*.f64 (*.f64 eps (+.f64 (/.f64 eps x) #s(literal 5 binary64))) x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (-.f64 #s(literal 10 binary64) (/.f64 (*.f64 eps (-.f64 #s(literal -5 binary64) (/.f64 eps x))) x)) (*.f64 x x))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 (/.f64 #s(literal 10 binary64) x) (fma.f64 eps (/.f64 eps x) eps) #s(literal 5 binary64)) (*.f64 x x))) x) x)) 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 #s(approx (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (*.f64 #s(literal 5 binary64) eps)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) (pow.f64 eps #s(literal 4 binary64)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
1 calls:
| 8.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) (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 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 eps eps)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) |
1 calls:
| 6.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x) (+.f64 x eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) (+.f64 x eps)) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (*.f64 x x) #s(literal 10 binary64)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) x) x #s(approx (* (* eps (+ x eps)) 10) (*.f64 (*.f64 x eps) #s(literal 10 binary64)))) x) x)) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))) |
1 calls:
| 29.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 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)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 10 binary64) eps))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 10 binary64)) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 x x) #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(approx (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (*.f64 #s(literal 5 binary64) eps)) (*.f64 x x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 5 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
| 97.8% | 3 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 x eps) x) #s(literal 5 binary64))) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 #s(approx (* (* 10 (* x x)) (+ x eps)) (*.f64 (*.f64 #s(literal 10 binary64) eps) (*.f64 x x))) eps)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps x) (*.f64 eps (*.f64 #s(literal 10 binary64) x)))) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 10 binary64) eps))) x)) eps)) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 x (*.f64 (*.f64 eps x) eps)) #s(literal 10 binary64))) eps)) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
1 calls:
| 2.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 1 | x |
| 86.9% | 1 | eps |
| 86.9% | 1 | (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) |
Compiled 11 to 11 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.063153889301369e-308 |
| 0.0ms | -8.88844947937875e-310 | 0.0 |
Compiled 12 to 12 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 1403 |
| 1 | 191 | 1403 |
| 2 | 200 | 1403 |
| 3 | 213 | 1403 |
| 4 | 224 | 1403 |
| 5 | 231 | 1403 |
| 6 | 235 | 1403 |
| 7 | 236 | 1403 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.f64 (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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.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)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x 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)) #s(approx (* (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) eps) (*.f64 (*.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 5 binary64) x) x (*.f64 (*.f64 #s(literal 10 binary64) eps) (+.f64 x eps)))) x) x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 eps (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (*.f64 #s(literal -10 binary64) (*.f64 x x)) (neg.f64 eps))) eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) #s(approx (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (*.f64 (*.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 10 binary64) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) eps) eps) eps)))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (*.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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (*.f64 (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.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 #s(approx (+ (* 5 (pow x 4)) (* (+ (* (* 10 (* x x)) eps) (* (pow x 3) 10)) eps)) (*.f64 (*.f64 #s(approx (+ (* (* 5 x) x) (* (* eps (+ x eps)) 10)) (*.f64 (*.f64 #s(literal 5 binary64) x) x)) x) x)) eps)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.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 #s(approx (* (+ (* (/ 10 x) (* eps eps)) (* 5 eps)) (* x x)) (*.f64 (*.f64 (*.f64 #s(literal 5 binary64) x) eps) x)) (*.f64 x x))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps))))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)))) |
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 #s(approx (+ (* 10 (* x x)) (* (+ (* 5 x) eps) eps)) (*.f64 eps eps)) (*.f64 (*.f64 eps eps) eps))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 412 | 8300 |
| 1 | 1450 | 7757 |
| 2 | 5041 | 6910 |
| 0 | 8224 | 6567 |
| 0 | 52 | 431 |
| 0 | 79 | 423 |
| 1 | 262 | 395 |
| 2 | 1677 | 395 |
| 0 | 8138 | 385 |
| 0 | 445 | 9361 |
| 1 | 1590 | 8774 |
| 2 | 5572 | 7903 |
| 0 | 8123 | 7476 |
| 0 | 43 | 307 |
| 0 | 74 | 307 |
| 1 | 269 | 293 |
| 2 | 2019 | 293 |
| 0 | 8391 | 289 |
| 0 | 409 | 7141 |
| 1 | 1410 | 6685 |
| 2 | 4795 | 5933 |
| 3 | 7880 | 5933 |
| 0 | 8387 | 5594 |
| 0 | 245 | 1372 |
| 1 | 817 | 1243 |
| 2 | 2855 | 1056 |
| 0 | 8390 | 988 |
| 0 | 64 | 574 |
| 0 | 96 | 570 |
| 1 | 312 | 546 |
| 2 | 1984 | 538 |
| 0 | 8384 | 517 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 123 to 417 computations (62.9% saved)
Compiled 1 626 to 238 computations (85.4% saved)
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